The new bridge, which will link the Ballycolman and the Head of the Town areas, is expected to be completed by the Summer.
Sinn Fein made last nights proposal, which had to be voted through by the casting vote of the Chair.
Cllr Brian McMahon says naming the bridge after Ivan Barr would be a fitting tribute:
But not everyone agrees with naming the bridge after the former Cllr.
SDLP Cllr Patsy Kelly says the bridge should not be named after any individual, and he says naming it after Ivan Barr is making it political when it shouldn't be: