NEW YORK >> The NFL will not fine coaches Jim Harbaugh and Jim Schwartz for their postgame tiff Sunday.

In celebration of a victory at Detroit, 49ers coach Harbaugh gave Lions coach Schwartz a roundhouse handshake and a backslap that Schwartz took offense to. A scrum broke out, with coaches and players involved.

"Fortunately, there was no fighting and thus no basis for a fine," a league spokesman says Monday. "However, both coaches told (NFL executive VP) Ray Anderson today that their postgame conduct was wrong and will not happen again. We believe their response is the correct one and that their postgame conduct going forward will be more appropriate."

The 49ers won 25-19 to improve to 5-1 and hand the Lions their first loss after five victories.