The Prince George's County Council took the following actions at its meeting Tuesday:

CHILD SUPPORT ENFORCEMENT AGENCY: The council introduced a bill that would fund a staff for the new Office of Child Support Enforcement being created by County Executive Parris Glendening. The measure would consolidate existing county and state agencies and locate new offices in the Gabriel Duval building next to the county administration building in Upper Marlboro.

HUNGER RELIEF DRIVE: The council heard a presentation by the Rev. Whitty Bass, executive director of Community Ministries, on a proposed two-day hunger relief drive to be held before Thanksgiving. Bass said he hopes that the more than 1,500 volunteers, who will solicit funds door-to-door, will raise about $25,000.

Bass said Montgomery County has had similar drives for the past three years that have been very successful.

MEDICAID BUDGET FREEZE OPPOSED: The council sent a letter to the Maryland congressional delegation opposing a budget freeze on federal Medicaid expenditures that has been proposed by Senate Republicans and President Reagan. The council said "the net effect of these program revisions would be to cut $4.8 billion in Medicaid funds . . . and permanently shift to county governments the costs of providing health care to the elderly and the poor."

Legal limits placed on county property tax rates mean that "the cutbacks could seriously jeopardize access to health care for needy persons," the council said.

WSSC CAPITAL PROJECT ADDITIONS: The council authorized an additional $877,000 for three new and one revised project for the Washington Suburban Sanitary Commission's storm drainage program for fiscal 1986, beginning July 1.

Projects scheduled are construction of a 500-foot concrete channel between the Baltimore & Ohio Railroad embankment and Rte. 197 in Laurel, for $495,000; enlargement of road culverts at Jutewood Avenue and Reed Street in Cheverly, $236,000, and construction of 220 feet of pipe on Tippett Road in Tippett.

Also planned is the construction of about 600 feet of reinforced concrete pipe near the intersection of Rhode Island Avenue and Tecumseh Street in College Park, for $121,000.