School officials said in a news release that Winkler died unexpectedly Wednesday at his parents' home. The native of Asker, Norway, was a third-round pick by the Stars in 2008.
The school said Winkler graduated from Colorado College on May 20 with a bachelor's degree in economics.
Winkler came to the U.S. in 2007 and played for Cedar Rapids in the United States Hockey League the year he was drafted by Dallas. He later enrolled at Colorado College and compiled 63 points in 120 career games. He had career highs of 13 goals and 28 points last season.