Martha Irene Randall (born June 12, 1948) is an American former competition swimmer, Olympic medalist, and former world record-holder.

Randall was Coached by Mary Freeman at Philadelphia's Vespar Boat Club Swim team, where she did much of her early training.

She received a bronze medal for her third-place performance in the 400-meter individual medley, finishing in 5:24.2.

[3] The U.S. women's team swept the 400-meter event with Randall's fellow American teammates, Donna de Varona and Sharon Finneran, who finished first and second.

[4] Randall helped set a new world-record time of 4:34.6 in the 4×100-meter medley relay as a member of a U.S. team that included Cathy Ferguson, Cynthia Goyette, and Kathy Ellis on September 28, 1964.