Career
Kallur played for Modo Hockey and Södertälje Saskatchewan before moving to Djurgårdens IF in 1978. He was signed by New York Islanders in 1979 and played his entire North American career with that team (except for two games with Indianapolis Checkers). Kallur is currently a scout within the New York Islanders organization.
Anders Kallur is the father of Swedish athletes Jenny, Martin and Susanna Kallur.