Constanța Burcică (née Pipotă; born March 15, 1971 in Sohatu, Călăraşi County) is a Romanian Olympic rower. She won the first three instances of the Women's Lightweight Double Sculls at the Olympic Regatta, in 1996, 2000 and 2004.
At the 1996 Olympics Burcică and her partner Camelia Macoviciuc took the inaugural Lightweight Double Scull event.
Burcică and her new partner Angela Alupei took the gold medal at the 2000 and 2004 Olympic Games in the Women's Lightweight Double Scull event. They also took first place at the Rowing World Cup twice in 2000, in Vienna, Austria and in Lucerne, Switzerland, and second place at the 2004 World Cup in Lucerne.