Smith comes from the Tennessee Titans, where he was the running backs coach since 1995 as well as an assistant head coach for the last two seasons.
"It was a hard decision because I couldn't make a bad decision," Smith said.
Smith said he was drawn by the chance to reunite with ex-teammate Zorn. The two played together for the Seahawks in the late 1970s and early 1980s.
"The opportunity to work with Jim, the opportunity to develop further as a coach and in the coordinator position and to be a part of the Redskins' organization, I'm looking forward to that," Smith said.
Smith received an offer from the Redskins when he visited Washington on Tuesday, then returned to Tennessee to consider his options. He'll join his new team at the NFL combine next week.
Smith will replace the person who hired him. Zorn was brought to Washington last month to be the offensive coordinator, then was promoted to head coach last Saturday.
Zorn said earlier this week that he would call the plays if Smith accepted the coordinator position.
"He does not want to call the plays," Zorn said. "And I want to call the plays."
Copyright 2008 by The Associated Press