The House has voted to eliminate funds for deployment of ground-launched cruise missiles in one European country and to reduce funds the Reagan administration is seeking to allow Air Force personnel to take their families to cruise-missile bases in four others.

The administration has been pressing for money to pay for community facilities as part of its effort to convince the Soviet Union that the United States is so serious about deploying the missiles in the five countries that it wants to have 10,000 dependents accompany 10,000 U.S. troops and civilian employes.

The first of the planned 464 cruise missiles are scheduled to become operational in England and Italy this December.

The initial groups of airmen handling the new nuclear weapons will be stationed for year-long tours and will not be accompanied by relatives, an Air Force official said last week.

But eventually, he added, the Air Force wants its troops to serve three-year tours with their families.

The United States and Soviet Union are negotiating in Geneva to cut the number of Russian SS20 intermediate-range missiles aimed at Western Europe in return for reducing the number of American cruise and Pershing II missiles sent to NATO countries.

The administration has been using the cruise-missile dependent facilities as a bargaining chip.

By voice vote last week the House sliced $69 million from the administration's requested $148 million in the fiscal 1984 military construction appropriations bill.

The cuts included $34 million planned for all construction planned for the Netherlands. The government in The Hague has yet to agree to take the 48 missiles that Dutch leaders had said that they would accept at the time of the initial deployment decision by NATO in 1979.

The remaining reductions, proposed originally by the House Appropriations Committee, were directed at "elimination of dependent support construction" in England, Italy, West Germany and Belgium, according to the committee report.

"The United States should proceed with its commitments to NATO to meet schedules for the construction of operational bases," the report said.

But it added that dependent schools, family housing and other community facilities related to the cruise missile basing "should be deferred at this time."

Among the items knocked out by the House vote were a $2.6 million officers' mess and $1.3 million bowling center for Greenham Common, England, and a $3.5 million consolidated club and $1.1 million radio-TV facility for the base at Comiso, Sicily.