District of Columbia voters will go to the polls Tuesday in a special general election to choose one at-large member of the City Council, on City Council representative from Ward 4 and one at-large member of the school board.

Eleven candidates are seeking the at-large council vacancy, created when former councilman Marion Barry was elected mayor last year. There are 16 candidates on the ballot to fill the Ward 4 seat, vacated when Arrington Dixon was elected City Council chairman last fall.

One candidate in the Ward 4 race, Felix B. Redmond, said he has withdrawn. However, his name will appear on the ballot.

The winners of the two council races will serve until Jan. 1, 1981.

There are 10 candidates in the race to fill the at-large school board vacancy, created when Betty Ann Kane was elected to the City Council. One candidate, James E. Nutall, has withdrawn from the school board race, but his name will appear on the ballot. The at-large school board term will expire later this year.

In all three contests, the person receiving the most votes will be the winner. There are no run-off elections in the District, and properly registered persons of all political parties-as wells as independents-are eligible to vote for any candidate they wish.

There are no Republicans in the at-large council race because one Republican, Jerry A. Moore Jr., already is serving an at-large term, which expires Jan. 1, 1981. City law prohibits any one party from having two at-large council members whose terms would expire simultaneously.

Polls in the District's 137 precincts will be open from 7a.m. until 8 p.m. Each voter should have a voter registration card to verify eligibility. However, those without the card will be allowed to vote if they are properly registered. No polls have changed in location since the last municipal elections were held in November.

For the first time, the entire city will vote using a "Datavote" system, in which ballots are punched instead of marked with a felt-tipped pen. Voters will be given instructions on the use of being given an official ballot.

In Ward 4, voters will be given a two-sided ballot.One side will list the candidates for the at-large City Council and at-large school board seats. The candidates for the Ward 4 council seat will be listed on the reverse side of the same ballot.

The District of Columbia does not permit registration at the polls on election day. Only those properly registered as of March 31 will be allowed to cast ballots Tuesday.

Write-in votes will be permitted in all contests. Voters may vote for only one candidate for each office on the ballot.

Absentee voters may cast their ballots two ways. Those who have already obtained absentee ballots-the deadline to do so was Tuesday-may mail them, postmarked no later than May 1, the date of the election.

Absentee ballots may also be cast by voting in person at the Board of Elections office in Room 7 of the District Building, 14th and E streets NW, through 5 p.m. Saturday, April 28.

Information about voting procedures is available from the D.C. Board of Elections and Ethics, 347-9725, or the League of Women Voters, 785-2616.