President Reagan says that after leaving office he ''would like to start a movement'' to repeal the constitutional amendment that limits Presidents to two terms.

Mr. Reagan, in a restatement of a past position, said the limitation interfered with the right of the people to ''vote for someone as often as they want to do.''

The President discussed the amendment and other issues in a television interview conducted by the British personality David Frost that is to be broadcast this weekend along with discussions with two former Presidents, Jimmy Carter and Gerald R. Ford. The program is to be followed in later weeks with interviews with candidates now seeking the Presidency.

Whether Mr. Reagan will campaign actively to repeal the amendment remains to be seen. He has declared strong support for two proposed constitutional amendments, one to allow states to bar abortions and the other to prohibit Federal deficits, but has not worked for their passage. Not a Top Priority