Alex Baumann (born April 21, 1964 in Prague, Czechoslovakia) is a Canadian athlete, who won two gold medals and set two world records in swimming at the 1984 Olympics in Los Angeles.

Born in Czechoslovakia, Baumann was raised in Canada after his family moved there following the Prague Spring. The family settled in Sudbury, Ontario, where Baumann became involved in competitive swimming, training at Laurentian University.

By the time he was 17, Baumann held 38 Canadian swimming records. Internationally, he won gold in the the 200 and 400-metre events an the 1982 Commonwealth Games and the 400-meter championship in the 1983 World University Games .

At the 1984 Olympics, Baumann won gold medals in the 400-metre individual medley, setting a world record time of 4:17.41, and the 200-metre race, setting a world record of 2:01.42. He won Canada's first gold medals in men's swimming since 1912.

He was named Canada's male athlete of the year for 1984 and was made an Officer of the Order of Canada.