Georgia voters favor President Carter, the home-state native, over Sen. Edward M. Kennedy (D-Mass.) and all potential top Republican challengers, according to a recent public opinion poll.

When pitted against Kennedy, Carter was the choice to 60 precent of poll respondents while Kennedy was selected by 27 percent. The remainder were undecided.

This marked an improvement for Carter since February, when a similar poll of Georgia voters showed him with a 54 to 32 lead over Kennedy.

In the latest survey, conducted Oct. 12-17, Carter outscored Republicans John Connally 62 to 26 percent, Ronald Reagan 57 to 35 and Howard Baker 62 to 25.

The poll, commissioned by the Atlanta Journal Constitution, was conducted by Darden Research Corp. of Atlanta in telephone interviews with 500 registered voters.

Among black Georgian voters, Kennedy led Carter, 51 to 35 percent. Among whites, Carter led comfortable, 67 to 21.

The poll also showed that Gov. George Busbee and Lt. Gov. Zell Miller are each favored over Sen. Herman E. Talmadge (D-Ga.), whose term expires next year.

Busbee, who maintains that he is not interested in the Senate race next year, held a 2 to 1 advantage in the poll over the 66-year old senator.

Miller, who is planning to announce his Senate candidacy later this month, was favored by 50 percent of the poll respondents compared to Talmadge's 43 percent. The remaining 7 percent were undecided.

Talmadge, chairman of the Senate Agriculture Committee, was denounced by the Senate Oct. 11 for his handling of office accounts.

Talmadge has predicted that he will win election next year to a fifth six-year term.