Eric Alexander empezó como músico clásico, estudiando saxo alto en la Universidad de Indiana con Eugene Rousseau en 1986. Pronto cambió al jazz y al saxo tenor y entonces se trasladó a la William Paterson Universidad, donde estudia con Harold Mabern, Rufus Reid, Joe Lovano, Gary Smulyan, Norman Simmons, Steve Turre y otros.

Alexander consiguíó fama enseguida por acabar segundo (detrás de Joshua Redman y antes de Chris Potter) en la Thelonious Monk Competición de Saxo de Jazz Internacional de 1991. A partir de entonces empezó a grabar álbumes.

Influenciado fuertemente por John Coltrane, Sonny Stitt, Dexter Gordon y George Coleman, Alexander ha trabajado con muchos músicos de jazz notables, incluyendo el pianista de Chicago, Harold Mabern, el bajista Ron Carter, el batería Joseph Farnsworth y el guitarrista Pat Martino. También ha grabado y giró extensamente con el sexteto One for All.

Discografía como lider:

1.     New York Calling (Criss Cross, 1992)
2.     Straight Up (Delmark, 1992)
3.     Up, Over & Out (Delmark, 1993)
4.     Full Range (Criss Cross, 1994)
5.     Eric Alexander In Europe (Criss Cross, 1995)
6.     Stablemates (Delmark, 1995) (with Lin Halliday)
7.     Two of a Kind (Criss Cross, 1996) (with Cecil Payne)
8.     Man with a Horn (Milestone, 1997)
9.     Alexander The Great (Milestone, 1997)
10.     Heavy Hitters (Pony Canyon, 1997) (Japanese import)
11.     Mode For Mabes (Milestone, 1997) (with Harold Mabern)
12.     Extra Innings (Alfa, 1998) (Japanese import)
13.     Solid! (Milestone, 1998) (quartet with John Hicks, George Mraz, Idris Muhammad)
14.     Live at the Keynote (Video Arts, 1999) (Japanese import)
15.     The First Milestone (Milestone, 1999)
16.     The Second Milestone (Milestone, 2000)
17.     Summit Meeting (Milestone, 2001)
18.     Nightlife in Tokyo (Milestone, 2002)
19.     Gentle Ballads (Venus, 2004) (Japanese import)
20.     Dead Center (High Note, 2004)
21.     Sunday in New York (Venus, 2005) (Japanese import)
22.     It's All in the Game (High Note, 2005)
23.     Gentle Ballads II (Venus, 2006) (Japanese import)
24.     Temple of Olympic Zeus (High Note, 2007)
25.     My Favorite Things (Venus, 2007) (Japanese import)
26.     In Concert: Prime Time (High Note, 2007)
27.     Gentle Ballads III (Venus, 2007) (Japanese import)
28.     Lazy Afternoon: Gentle Ballads IV (Venus, 2008) (Japanese import)
29.     Revival Of The Fittest (High Note, 2009)
30.     Chim Chim Cheree: Tribute To John Coltrane (Venus, 2009) (Japanese import)
31.     Don't Follow The Crowd (High Note, 2010)
32.     Gentle Ballads V (Venus, 2011) (Japanese import)
33.     Touching (High Note, 2012)
34.     Blues at Midnight (Venus, 2013) (Japanese import)
35.     Recado Bossa Nova (Venus, 2013) (Japanese import)
36.     Chicago Fire (High Note, 2013)
37.     The Real Thing (High Note, 2015)

Como sideman

Con One For All (co-líder con Jim Rotondi, Steve Davis, David Hazeltine)

•     Too Soon To Tell (Sharp Nine, 1997)
•     Optimism (Sharp Nine, 1998)
•     Upward And Onward (Criss Cross, 1999)
•     The Long Haul (Criss Cross, 2000)
•     The End of a Love Affair (Venus, 2001) (Japanese import)
•     Live at Smoke: Volume 1 (Criss Cross, 2001)
•     Wide Horizons (Criss Cross, 2002)
•     No Problem: Tribute To Art Blakey (Venus, 2003) (Japanese import)
•     Blueslike (Criss Cross, 2003)
•     Killer Joe (Venus, 2005) (Japanese import)
•     The Lineup (Sharp Nine, 2006)
•     What's Going On (Venus, 2007) (Japanese import)
•     Return of the Lineup (Sharp Nine, 2008)
•     Incorrigible (Jazz Legacy Productions, 2009)
•     Invades Vancouver! (Live at the Cellar) (Cellar Live, 2010)

Con Jim Rotondi

•     Introducing Jim Rotondi (Criss Cross, 1996)
•     Jim's Bop (Criss Cross, 1997) (quintet includes Harold Mabern)
•     Excursions (Criss Cross, 1998) (this is the 'One For All' group under Jim's leadership)
•     Blues For Brother Ray (A Tribute To Ray Charles) (Posi-Tone, 2009) (quintet includes Mike LeDonne, Peter Bernstein)
•     Live at Smalls (Smalls Live, 2009) (this quintet includes 5 of the 6 members of the 'One For All' group, everyone except Steve Davis)
•     Jim Rotondi and the Loop: Hard Hittin' At The Bird's Eye (Sharp Nine, 2012)

Con Steve Davis

•     The Jaunt (Criss Cross, 1995) (sextet includes Mike DiRubbo, Bruce Barth)
•     Dig Deep (Criss Cross, 1996) (this is the 'One For All' group under Steve's leadership)
•     Crossfire (Criss Cross, 1997) (sextet includes Mike DiRubbo, Harold Mabern)
•     Say When (Smoke Sessions, 2015) (sextet includes Eddie Henderson, Harold Mabern)

Con David Hazeltine

•     Blues Quarters, Vol. 1 (Criss Cross, 1998)
•     The Classic Trio Meets Eric Alexander (Sharp Nine, 2001)
•     Manhattan Autumn (Sharp Nine, 2001)
•     Blues Quarters, Vol. 2 (Criss Cross, 2006)
•     The Inspiration Suite (Sharp Nine, 2007)
•     Inversions (Criss Cross, 2010)

Con Reeds And Deeds (co-líder con Grant Stewart)

•     Wailin' (Criss Cross, 2004)
•     Cookin' (Criss Cross, 2005) (includes David Hazeltine, John Webber, Joe Farnsworth...the 'One For All' rhythm section)
•     Tenor Time (Criss Cross, 2010) (includes David Hazeltine, John Webber, Joe Farnsworth...the 'One For All' rhythm section)

Con Vincent Herring

•     The Battle (Live at Smoke) (High Note, 2005)
•     Friendly Fire (Live at Smoke) (High Note, 2011)

Con Mike LeDonne

•     Smokin' Out Loud (Savant, 2003) (includes Peter Bernstein, Joe Farnsworth)
•     The Anniversary Quartet: You'll See! (Live At The Cellar) (Cellar Live, 2004) (includes Peter Bernstein, Joe Farnsworth)
•     On Fire (Live At Smoke) (Savant, 2006) (includes Peter Bernstein, Joe Farnsworth)
•     Five Live (Live At Smoke) (Savant, 2007) (includes Jeremy Pelt, John Webber, Joe Farnsworth)
•     The Groover (Savant, 2009) (includes Peter Bernstein, Joe Farnsworth)
•     Mike LeDonne/The Groover Quartet: Keep The Faith (Savant, 2011) (includes Peter Bernstein, Joe Farnsworth)
•     Mike LeDonne/The Groover Quartet: I Love Music (Savant, 2013) (includes Peter Bernstein, Joe Farnsworth)
•     Mike LeDonne/The Groover Quartet: Awwl Right! (Savant, 2015) (includes Peter Bernstein, Joe Farnsworth)

Con Charles Earland (AKA "The Mighty Burner")

•     Unforgettable (Muse, 1991)
•     I Ain't Jivin'...I'm Jammin' (Muse, 1992)
•     Ready 'N' Able (Muse, 1995)
•     Blowing The Blues Away (High Note, 1997)
•     Cookin' With The Mighty Burner (High Note, 1999; recorded 1997)
•     Stomp! (High Note, 2000; recorded 1999)
•     The Almighty Burner (32 Jazz, 2000) compilation/Muse material
•     Charles Earland Tribute Band: Keepers Of The Flame (High Note, 2002) (includes Joey DeFrancesco, Bob DeVos, Pat Martino)
•     The Mighty Burner: The Best Of His High Note Recordings (High Note, 2004) compilation
•     Scorched, Seared & Smokin': The Best Of The Mighty Burner (High Note, 2011) compilation/3-CD set

Con Irene Reid

•     Million Dollar Secret (Savant, 1997) (includes Jim Rotondi, Charles Earland, Bob DeVos)
•     I Ain't Doing Too Bad (Savant, 1999) (includes Jim Rotondi, Charles Earland, Bob DeVos)
•     The Uptown Lowdown (Savant, 2000) (includes Jim Rotondi, Charles Earland)
•     One Monkey Don't Stop No Show (Savant, 2002) (includes Jim Rotondi, Randy Johnston)
•     The Queen of the Party (Savant, 2012) compilation

Con otros...

•     The Tenor Triangle: Tell It Like It Is (Criss Cross, 1993) (sextet with Ralph Lalama, Tad Shull & Melvin Rhyne Trio)
•     Joe Magnarelli: Why Not (Criss Cross, 1994)
•     The Tenor Triangle: Aztec Blues (Criss Cross, 1994) (sextet with Ralph Lalama, Tad Shull & Melvin Rhyne Trio)
•     Melvin Rhyne: Stick to the Kick (Criss Cross, 1995)
•     John Swana: In The Moment (Criss Cross, 1995) (sextet includes Steve Davis, Kenny Barron)
•     Peter Bernstein: Brain Dance (Criss Cross, 1996) (quintet includes Steve Davis, Larry Goldings)
•     Pat Martino: Stone Blue (Blue Note, 1998)
•     John Swana & Joe Magnarelli: Philly-New York Junction (Criss Cross, 1998)
•     Paul Bollenback: Soul Grooves (Challenge, 1998)
•     Joe Farnsworth: Beautiful Friendship (Criss Cross, 1998) (sextet includes Eddie Henderson, Steve Davis, Cedar Walton)
•     Melvin Rhyne: Classmasters (Criss Cross, 1999)
•     Jimmy McGriff: McGriff's House Party (Milestone, 1999)
•     Norman Simmons: The Art Of Norman Simmons (Savant, 2000)
•     Dmitri Kolesnik: Blues For Dad (Boheme, 2001)
•     Norman Simmons: Synthesis (Savant, 2002)
•     Joe Magnarelli & John Swana: New York-Philly Junction (Criss Cross, 2003)
•     Jimmy Cobb's Mob: Cobb's Groove (Milestone, 2003) (quintet with Richard Wyands, Peter Bernstein, John Webber)
•     Jim Snidero: Close Up (Milestone, 2004)
•     Dmitri Kolesnik:: Five Corners (Challenge, 2007)
•     John Swana: Bright Moments (Criss Cross, 2007)
•     Larry Willis: The Offering (High Note, 2007)
•     Stewy Von Wattenwyl Generations Trio Featuring Eric Alexander: Live At Marians (Bemsha Music, 2008)
•     Meeting Point: Quintessence (Challenge, 2008) (quintet with Jim Rotondi, Andrei Kondakov, Dmitri Kolesnik, Lenny White)
•     Neal Smith Quintet: Live At Smalls (Smalls Live, 2009)
•     Pat Martino Quartet: Undeniable – Live At Blues Alley (High Note, 2011)
•     Alexis Cole with One For All: You'd Be So Nice To Come Home To (Venus, 2011) (Japanese import)
•     I Carry Your Heart: Alexis Cole Sings Pepper Adams (Motéma Music, 2012)
•     Harold Mabern: Mr. Lucky (A Tribute To Sammy Davis Jr.) (High Note, 2012)
•     Harold Mabern: Afro Blue (Smoke Sessions, 2015)