Frink attended the University of Nebraska (1969-1972) and studied under Jimmy Maxwell (1972-1974). From 1978 to 1987 she played trumpet in the Mel Lewis Orchestra, and during the same period was a member of Gerry Mulligan's concert band. She worked with George Russell in 1980 and with the bands of Benny Goodman (1986) and Buck Clayton (1988). She began playing in Bob Mintzer's ensemble in 1984, playing with him until 1997. From 1992 she was a member of Maria Schneider's orchestra. She taught extensively in New York, including at the Manhattan School of Music, the New School for Social Research, Westchester Conservatory, and SUNY-Purchase. Later in her career she played with John Hollenbeck, Darcy James Argue, and Ryan Truesdell. With John McNeil, she published the trumpet instruction book Flexus: Trumpet Calisthenics for the Modern Improviser in 2003. She died of cancer of the bile duct in 2013 at the age of 61.
- Gary W. Kennedy, "Laurie Frink". The New Grove Dictionary of Jazz. 2nd edition, ed. Barry Kernfeld, 2004.
- Nate Chinen, Laurie Frink, Trumpeter and Brass Instructor to Many, Dies at 61. New York Times, July 17, 2013.