Anna Kotchneva (Russian: Анна Кочнева) (born January 25, 1970) is a former Russian rhythmic gymnast.

Kotchneva is the 1987 World Champion in clubs, (tied with Bianka Panova), the 1987 World bronze medalist in the hoop, and the 1987 World co-bronze medalist in the rope with Marina Lobatch.

Kotchneva is married to former artistic gymnast and Olympic gold medallist, Valeri Liukin.

Their daughter, Nastia Liukin, is a retired United States artistic gymnast who won 5 medals at the 2008 Beijing Olympics, including the all-around gold.

This biographical article related to Russian rhythmic gymnastics is a stub.