He then joined the U.S. Air Force, serving in England as a second lieutenant with the Judge Advocate General's office.
In 1968, Fink was appointed as chief counsel to the Assembly's Committee on Mental Hygiene.
In 1986, he decided not to seek re-election, saying he wanted to spend more time with his family and earn more money in the private sector.
He joined Bower & Gardner, a Manhattan law firm, and was senior vice president for regulatory and Government affairs for NYNEX at the time of his death.
He had been in failing health since late January when he underwent surgery for a recurrence of cancer.