The parallel talks on long-range arms and defensive systems will recess until April.
Negotiators returned from Washington on Thursday after parallel talks with State Department officials that both sides called inconclusive.
Mr. Barak, in contrast, asserts that he is ready to pursue parallel talks with the Syrians and Palestinians with equal vigor.
There would also be parallel talks with Palestinians from the occupied territories, perhaps in association with Jordan, and continuing regionwide discussions of issues like water and arms control.
"We must have parallel talks on this subject."
In the parallel talks, some progress was reported on issues surrounding the creation of a new civilian police force.
The two countries' foreign, treasury and defense ministers are to hold parallel talks.
Reflecting American priorities, the NATO statement stressed the "prime importance" of making deep cuts in strategic long-range weapons, which are the subject of parallel talks.
In Washington, a senior administration official insisted that General Zinni remained prepared to open parallel talks on political issues the minute the parties took serious steps toward a cease-fire.
A spokesman for the American delegation said parallel talks on long-range and space weapons would adjourn Wednesday as planned.