David Bakradze, head of Georgia's parliamentary committee on European integration, said Russian had wanted more time to prepare for the talks.
Georgian lawmakers had been scheduled to travel to Moscow on 26 February. The visit is now planned for mid-March.
Last week, Russia postponed a visit by Georgian Prime Minister Zurab Noghaideli that had been planned for 26-28 February.
The already tense relations between Russia and Georgia have been further strained by a series of recent incidents involving Russian peacekeepers in the breakaway republic of South Ossetia and Georgian forces.
Georgia's parliament on 15 February called for the withdrawal of Russian peacekeepers from South Ossetia.
(Novosti-Gruziya, civil.ge)