Jansen scored five goals in three games last week, including his first career hat trick Sunday night against Chicago.
Detroit left-wing Tomas Tatar and Dallas left-wing Jamie Benn were named the week's second and third stars respectively.
Hansen converted on 71.4 per cent of his shots (5-of-7) to power the Canucks (14-6-1, 29 points) to five of a possible six points last week.
He started his week with a short-handed goal Wednesday in a in a 5-4 win over the Edmonton Oilers. He scored the game-tying goal in a 4-3 shootout loss to the Anaheim Ducks on Thursday, then capped the week with three goals, including the winner, in a 4-1 victory over the Blackhawks.
Tatar had four goals and an assists in three games for the Red Wings.
Benn had three goals and three assists over three games for the Stars.