These include commitments to combat terrorism and extremism and to end acts of provocation and incitement.
There was no immediate comment from Qatar, which denies aiding terrorists.
It has refused to agree to any measures that threaten its sovereignty or violate international law, and denounced the "siege" imposed by its neighbours.
The restrictions put in place six weeks ago have forced the gas-rich emirate to import food by sea and air to meet the basic needs of its population of 2.7 million.
At a briefing for a group of UN correspondents in New York on Tuesday, diplomats from the four countries said they wanted to resolve the crisis amicably.
Saudi permanent representative Abdullah al-Mouallimi said their foreign ministers had agreed the six principles at a meeting in Cairo on 5 July and that they "should be easy for the Qataris to accept".
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