Detroit is the Western Conference's top seeded team, but the Red Wings lost a chance to win the Presidents' Trophy as the NHL's overall No. 1 when Buffalo beat Washington on Saturday.
Kyle Calder had two goals for Detroit, Danny Markov added a goal and assist, Tomas Holmstrom reached 30 goals for the first time in his career and Kyle Quincey got his first NHL goal. Robert Lang had two assists and Chris Osgood made 19 saves.
Samuelsson's previous high was four points on Nov. 23, 2005.
Radim Vrbata, and Jeff Hamilton scored for Chicago, which will finish its season Sunday at Dallas. Patrick Lalime stopped 17 shots before being replaced by Nikolai Khabibulin to start the third period.
Detroit led 3-0 after the first period.
Markov gave Detroit a 1-0 lead 4:31 into the game when his slap shot from the point deflected off a skate in front, caromed off the end boards, off Lalime's skate and into the net. Samuelsson made it 2-0 just 1:03 later when he beat Lalime from the right faceoff dot for his first goal in 14 games.
Calder scored a power-play goal with 8:30 left in the opening period when Samuelsson's shot from the point deflected in off Calder's skate.
Holmstrom scored 3:51 into the second period, topping his career high of 29 goals set last season. Calder got his second goal just 1:36 later and Samuelsson scored his second with 7:30 left in the middle period on a power play.
Vrbata put Chicago on the board with 1:46 remaining in the second period.
Quincey got his first goal just 12 minutes later. Hamilton scored 7:37 into the third period.
Notes: Chicago missed the playoffs for the eighth time in nine seasons. ... Detroit LW Todd Bertuzzi missed the game because of a neck injury. ... Chicago D Adrian Aucoin returned after missing two games with a groin injury. ... Detroit D Chris Chelios didn't play because of an upper body injury. ... Red Wings C Pavel Datsyuk played his first game after signing a US$46.9-million, seven-year contract extension on Friday. ... Detroit RW Dan Cleary was cut above an eye and on the bridge of his nose when he was shoved into the glass face first by Chicago D Cam Barker with 4:55 left. Barker received a boarding major and a game misconduct.