A convicted murderer who was shot in 1981 by two D.C. police officers trying to arrest him settled a damage suit against the city yesterday for $5,500.

Harold L. Beynum, 31, who was convicted in October 1982 of killing a Swiss tourist, had contended that James M. Boteler, now a lieutenant in the robbery squad, and Irving Cousins, assigned to the 7th District, used unnecessary force when they arrested him.

Marian Block, Beynum's attorney, said she was "very pleased" with the settlement.

Roberta Gross of the D.C. corporation counsel's office, said the "amount was a nuisance value" paid in lieu of having to go to trial, which was scheduled to begin Monday and was expected to last at least two weeks.

The city did not acknowledge any wrongdoing in the settlement of the suit.

Beynum was shot once with a shotgun by Boteler and twice with a service revolver by Cousins on June 19, 1981, as he ran from an apartment in the 1200 block of Southern Avenue SE in an attempt to elude police officers who were seeking to arrest him on several felony warrants.

Police were told of Beynum's whereabouts by his brother, who had been arrested earlier in the investigation of the May 1981 slaying of the Swiss tourist, Gertrude Eggimann, 66, but told officials that Harold Beynum had killed the woman.

Beynum also pleaded guilty to second-degree murder in the death of a Reginald Hayes of Temple Hills, whose decomposed body was found in Southeast Washington in June 1981.