The Rev. Jesse Jackson reportedly has agreed to meet with Mayor Edward I. Koch in an attempt to end their differences, which have threatened party unity.

Jackson said Sunday he had accepted Gov. Mario Cuomo's request to smooth over differences with Koch, who sharply criticized Jackson during April's New York state presidential primary campaign, The New York Times reported Monday."Governor Cuomo has expressed interest in the relationship being healed," Jackson told the Times. "I think that's good."

Koch said in a statement: "I agree that in the interest of party unity and the election of (Massachusetts Gov.) Michael Dukakis, it would be good to meet with Jesse Jackson."

Cuomo has invited the two to meet with him over coffee.

Cuomo said Sunday he talked with Jackson on Friday and that he has told Jackson and Koch "how important I thought it was to put things together again."

Jackson, referring to Koch, said: "The guy who closed doors is now trying to open them. If he calls me, I will respond to his call."

Koch and Cuomo said a first meeting should be attended by only the three. Koch added Sunday that he "would have no hesitancy in sitting down with Jesse Jackson and any black leaders he would like to bring."

In April, the Jewish mayor said Jews would be "crazy" to vote for Jackson, who supports Palestinian self-determination.

"He raised race and religion as a litmus test, which set a sour tone in New York and injured a lot of black and Jewish relations," Jackson told the Times.