Jesse Jackson won agreement from Democratic presidential nominee Michael Dukakis's campaign to include a host of his platform positions, campaign and party leaders said Tuesday.

Three positions - higher taxes for the rich, a policy of no first use of nuclear weapons and a plank supporting Palestinians - will hit the floor for a debate that Party Chairman Paul Kirk said would be without "rancor or discord."The agreement gives Jackson a significant hand in the final shape of the platform and allows his delegates a chance to have their say on the convention floor over the three issues.

However, Kirk said votes will be taken on the tax issue and on the nuclear question but not on the Middle East plank.

Not putting the politically sensitive Middle East plank to a vote, said Kirk, would allow delegates to "speak to the issue without drawing a line."

Eleanor Holmes Norton, Jackson's platform strategist, said Jackson planks on nuclear testing, Central America, health care and education were acceptable to the Dukakis campaign.

"We anticipate that these Jackson amendments will be supported by both campaigns," Norton told reporters.

"The triumph of the minority planks is that most of them will go into the majority platform," she said, declaring that "Jesse Jackson has had a greater impact" on any Democratic platform "other than the nominee in (the) history" of the party.

Jackson's campaign had pushed for a plank promoting a five-year freeze on defense spending, but Norton said it was dropped in exchange for acceptance by the Dukakis camp of his proposal for a nuclear weapons testing moratorium and a missile flight test moratorium.

"There is no issue that is going to be debated, although strongly felt by both sides, no issue is going to be debated with rancor or discord," said Kirk, adding that throughout the campaign, discussion of issues has been "civil, constructive, positive and beneficial to our party."

"That's the tone you'll hear," Kirk added.

Jackson forces had filed 13 possible minority planks by Monday, but representatives of the two camps discussed limiting the number of disputed issues to be presented to the delegates at the Omni Coliseum.

Late Monday, a source familiar with those talks said a scenario had been discussed that would give both sides victories on issues.

Of the 13 issues on which Jackson supporters on the 185-member platform committee filed dissenting reports, their leader focused on four: raising taxes for the wealthiest Americans, a five-year freeze on defense spending, a commitment to a "no first use" policy with regard to nuclear weapons, and Palestinian self-determination as an essential part of Middle East policy.

Jackson delegates said they were concerned about getting their issues before the full convention and were awaiting word from the national campaign.