Each NHL team left at least two and as many as 13 players unprotected. Joseph, a three-time All-Star, is scheduled to make $8 million this season.
The Red Wings would welcome another team taking Joseph and his contract. They plan on starting Hasek, a six-time Vezina Trophy winner who returned to his native Czech Republic after winning the Stanley Cup in 2002 but came back to the NHL this year.
"I talked to Curtis on Monday and told him that we were going to leave him unprotected in the waiver draft," said Detroit General Manager Ken Holland. "I have talked to a number of clubs over the last two or three months trying to figure out a way to do something."
Also left unprotected were goaltenders Steve Shields of Boston, Arturs Irbe of Carolina, Milan Hnilicka of Los Angeles, and Brian Boucher of Phoenix.