The College Park City Council has joined a growing list of municipalities nationwide that have called for a nuclear arms freeze.

Saying they believe the Soviet Union and the United States should end all risk of nuclear war, council members last week voted 7 to 0, with Anna Owens abstaining, to ask the state's congressional delegation to back a bill introduced by senators Mark O. Hatfield (R-Ore.) and Edward M. Kennedy (D-Mass) that calls for a freeze on the deployment of nuclear weapons and an eventual reduction in their numbers.

In other business, the council outlined the city's new tenant selection policy for the $25 million Lakeland Urban Renewal apartment and town house project:

First priority will be given to persons who were displaced from the Lakeland area because of the project, which was begun in August 1973. Second priority, to persons who still live in the community. Third, to persons who moved out of the community before the revitalization began because of condemnation or fire. Fourth, to other residents of College Park. Fifth, to residents of Prince George's County. Sixth, to all other applicants.

The project, to consist mostly of subsidized low-income housing, is expected to be completed sometime next year.

Meanwhile, owners of a 140-unit senior citizens' residence set to open this fall in the project area have begun accepting applications from prospective tenants.

Senior citizens interested in living in the seven-floor development may telephone the City of College Park at 864-8877. The residence, known as Spellman House, was named for former U.S. representative Gladys Noon Spellman, who remains in a coma after suffering a heart attack in October 1980.

In other action, the council imposed a 10 percent tax on revenues from coin-operated amusement machines. According to a city official, there has been a large influx of these machines, mostly video games, and the council decided to tax the gross receipts as a source of income for the city. An official in the city Treasurer's Office said the tax is expected to generate $30,000 to $35,000 annually for city offers.