Rockville's City Council last week considered a resolution calling for a freeze on the nuclear arsenals of the United States and the Soviet Union.

The measure also asks that nuclear arms be stored and guarded in a way that would prevent terrorists from obtaining them and that the United States press for "balanced, stable arms reductions, looking in time to the elimination of all nuclear weapons from the world's arsenals."

The council decided to hold the measure for public comment when officials found themselves split on support for the resolution, council member John E. Tyner II said. The council also decided to conduct hearings Sept. 9 to consider the Reagan administration's crisis relocation plan for the city.

At a Metropolitan Washington Council of Governments meeting last week, Rockville Mayor John R. Freeland denounced a similar arms freeze measure that Takoma Park Mayor Sammie A. Abbott had proposed that COG endorse.

Freeland said the nuclear freeze movement was based on "a buzzword, and I don't think people know what it means." Freeland, an Air Force colonel, told the COG board he would not support the measure.

Rockville's resolution is similar to those passed by local governments across the country, including some in the metropolitan area. But Rockville's measure also states that the "United States should challenge the Soviet Union to join in this historic effort to channel the genius of our two peoples away from the massing of nuclear arms and [instead]. . . to avert the enemies of mankind: poverty, hunger and disease."

In other business, the council selected United Disposal Corp. of Gaithersburg to haul garbage from 29 city-owned collection points.