Dorothy M. Burns, 76, who served as secretary to the secretary for the Repubican membership of the Senate from 1950 until 1979, when she was disabled in a traffic accident, died of multiple head trauma Tuesday at a nursing home in Weymouth, Mass.

After the accident, in which she was struck by a truck and which occurred in September 1979, Sen. Howard H. Baker Jr., (R-Tenn.) said in a speech in the Senate, "For three decades, Miss Burns had made an important contribution to keeping the Republican membership well organized, well informed and well equipped to deal with issues as current as those of today's legislative calendar and as historic as the Korean War."

Miss Burns was born in East Boston and reared in Belmont, Mass. She moved to Washington in 1940 and was secretary for the Interior Department for 10 years before transferring to the Senate in 1950, where she had worked for both the office of the minority secretary and the office of the majority secretary.

She lived in Washington before moving to Weymouth, Mass., after the accident to be near her family.

Survivors include two sisters, Phills B. O'Neil of Weymouth, and Gladys B. Rouse of Vassalboro, Maine, and Daytona Beach, Fla.