Hearings by the D.C. City Council into the District of Columbia's proposed 1980 budget will begin today on a potentially controversial subject: the funding of advisory neighborhood commissions.

In his proposed budget sent to the council last week, Mayor Walter E. Washington called for an outlay of $625,000 to pay for running the 37 commissions in the 12-month period starting Oct. 1, 1979. That is the same amount Congress voted for fiscal 1979.

However, the Home Rule Charter sets a formula under the commissions would get nearly $1.1 million. Patricia Spirer, the council's budget director, said she believes the charter provision should apply.

TOday's hearing will begin at 10 a.m. in the District Building, 14th and E streets NW.

Following is a list of other hearings on the $1.4 billion operating budget. Anybody wanting to testify may have his or her name put onto the witness list or may obtain information by telephoning the numbers shown.

Housing and community development, Sept. 26, 10 a.m. and 2 p.m., 724-8021.

Judiciary, Sept. 27, 10 a.m. and 2 p.m., and Sept. 30, 10 a.m., 724-8031.

Human resources and aging, Sept. 28, 10 a.m. and 2 p.m., and Oct 2, 9 a.m., 724-8020.

Education, recreation and youth affairs, Sept. 29 and Sept. 30, 10 a.m. and 2 p.m., 724-8014.

Transportation and environmental affairs, Oct. 2, 10 a.m. and 2 p.m., 724-8077.

Employment and economic development, Oct. 2, 10:30 a.m. and 5:30 p.m., 724-8085.

Government operations, Oct. 3, 10 a.m. and 2 p.m., 724-8078.

Finance and revenue, Oct. 4, 10 a.m. and 2 p.m., 724-8084.

Public service and consumer affairs, Oct. 5, 10 a.m. and 2 p.m., 724-8013.

Hearing by public witnesses on the budget generally, Oct. 6, 9:30 a.m., 724-8016.