Wesley's judicial career began with his election to the New York State Supreme Court in 1986. He served as a trial judge on the Supreme Court from 1987 to 1994, when he was appointed to the Appellate Division. He was an associate justice of New York Supreme Court, Appellate Division, Fourth Judicial Department from 1994 to 1996. In 1997, Governor George Pataki selected Wesley as his first appointee to serve as an Associate Judge of the New York Court of Appeals, New York's highest court, which he did until 2003.[1]
Federal judicial service
On March 5, 2003, President George W. Bush nominated Wesley to the Second Circuit in order to fill the seat vacated by Judge Pierre N. Leval, who assumed senior status. The United States Senate confirmed Wesley's nomination just over three months later on June 11, 2003, by a 96–0 vote.[2] He received his commission on June 12, 2003. He assumed senior status on August 1, 2016.[1] Wesley along with José A. Cabranes and Raymond Lohier were present to a case brought by police auditor Sean Paul Reyes (Long Island Audit) to a Preliminary Injunction concerning recording inside the lobby of police precincts in New York.[3] The case was defended by Chase Mechanick for the City of New York and for Reyes Andrew Case was the Lawyer on record.