Anna María Sveinsdóttir (born November 22, 1969) is an Icelandic former basketball player and coach.
She won eleven Icelandic championships and eleven Icelandic basketball cups, and is regarded as one of the best women's players in Icelandic basketball history.She was the first player to break the 5000 points barrier in Úrvalsdeild kvenna and finished her career as its all-time leading scorer with 5001 points in 324 games.
The scoring record stood until April 23, 2013, when it was broken by Birna Valgarðsdóttir.