David Urick began his lacrosse career at Cortland State, where he was a defenseman from 1966-70, and captain of the football team twice.

Urick became an assistant coach to Hall of Famer Jerry Schmidt at Hobart College in 1971. He succeeded Schmidt as head lacrosse coach in 1980, and from 1980-89 he led the Statesman to ten straight NCAA Division III championships. He won the Kraus Award as the Division III Coach of the Year in 1980 and 1981. He was the head coach for the U.S. Team in 1986. He entered the Cortland State Athletic Hall of Fame in 1986, and the Hobart College Hall of Fame in 1990.

In 1990, Urick became the head coach at Georgetown University. He was inducted to the Upstate New York Chapter Lacrosse Hall of Fame in 1991. He was the chairman of the NCAA Men's Lacrosse Committee from 1990-93.