Skoblikova was born in Zlatoust, Soviet Union, some 160 km west of Chelyabinsk, Ural. She trained at Burevestnik and later at Lokomotiv sports societies. At age 19 in 1959, Skoblikova qualified for the Soviet team and placed third in the national championships. She repeated that performance at the world championships, winning two distance medals as well. The next season, she seemed headed for the world title after winning the 500 m and placing 2nd in the 1500 m, but she fell in the 1000 m. By winning the 3000 m, she managed to land on the podium anyway, placing third again. A favourite for the Olympics now, she entered three events. In the first race, the 1500 m, she broke the world record, and won the gold medal. After just missing a second medal in the 1000 m (fourth), Skoblikova approached the world record in the 3000 m (missing it by just half a second), but that was enough for her second gold medal.