The unef were stationed in the Sinai and gaza, but when nasser ordered them to leave so he could occupy the territories and amass his army against Israel, the un forces quickly evacuated, without even issuing a complaint. Clearly the un was not interested in peace.

When war broke out between egypt and Israel, the un and the nations did not seek peace, since it appeared Israel would face defeat. Once Israel's success became known, the nations immediately pressed for peace. Hence the following un resolutions. Israel quickly accepted the cease-fire resolutions as long as the arabs didn't renew their attacks. Thus, technically, the war was over, and Israel was in a much greater position than it was before. But in reality the war never ended, as the arabs only took a break to rearm and reorganize their armies.

The UN imposes itself upon Israel once again
A collection of UN resolutions

June 6, 1967

On June 5, Israel and egypt informed the president of the security council that fighting had broken out. The council met at once, but a proposal to order an immediate cease-fire was blocked by egypt, India, and the soviet union. The extent of the egyptian débacle had not yet reached New York. The next day, when it was realized that egypt had suffered a devastating defeat, the council adopted a cease-fire resolution (un resolution 233), unanimously and without debate.

June 7, 1967

On June 5, the soviet union had opposed the passage of a cease-fire resolution. On June 7, it asked for a meeting of the security council. Now that it was fully aware of the crushing reverses inflicted by the Israel Defence Forces on egypt and jordan, the soviet union proposed its own cease-fire resolution (un resolution 234), which was unanimously adopted. Israel announced that it would accept the cease-fire order provided that the arabs did likewise. On June 7, the cease-fire went into effect on the jordanian front.

June 9, 1967

On June 8, egypt had agreed to a cease-fire and, on that day, fighting had ended in Sinai, when Israeli forces reached the Suez Canal. On June 9, Syria announced its acceptance of the previous cease-fire resolutions but demanded a meeting of the security council to accuse Israel of violating the truce. On June 9, the council passed a third cease-fire resolution (un resolution 235) which applied to the syrian front. It was accepted by Israel and later by syria. The cease-fire on the Golan Heights went into effect on June 10 at 1630 GMT.