The family of Derek Boogaard has filed a wrongful-death lawsuit against the National Hockey League.

It contends that the N.H.L. is responsible for the physical trauma and brain damage that Boogaard sustained during six seasons as one of the league’s top enforcers, and for the addiction to prescription painkillers that marked his final two years.

Boogaard was under contract to the Rangers when he was found dead of an accidental overdose of prescription painkillers and alcohol on May 13, 2011. He was 28. He was posthumously found to have chronic traumatic encephalopathy, or C.T.E., a brain disease caused by repeated blows to the head.

“To distill this to one sentence,” said William Gibbs, a lawyer for the Boogaards, “you take a young man, you subject him to trauma, you give him pills for that trauma, he becomes addicted to those pills, you promise to treat him for that addiction, and you fail.”

The N.H.L., through a spokesman, declined to comment Sunday.

In 55 pages of detailed accusations, the suit does not seek specific damages to be awarded to Boogaard’s parents and four siblings. It asks that a trial jury determine “a sum in excess of the minimum jurisdictional limit” for each of eight counts in the suit.

Len Boogaard, Derek’s father, declined to comment.

The suit was filed late Friday by the Chicago law firm of Corboy & Demetrio in the Circuit Court of Cook County. The firm brought a similar case against the N.F.L. in 2012 on behalf of Dave Duerson, a former Bears player who committed suicide in 2011 at age 50 and was found to have C.T.E. His suit has been consolidated with that of roughly 4,200 former N.F.L. players suing the league for damages incurred during their athletic careers.

The Boogaard suit against the N.H.L. was filed in time to beat two-year statutes of limitation for wrongful-death cases in places like Illinois and New York, Gibbs said.

A previous lawsuit that the Boogaard family filed against the N.H.L. Players’ Association last September, through a different lawyer, was dismissed this spring. In that case, the family said the union, after expressing interest in helping the pursue a case against the league, had missed a deadline for filing a grievance.

A judge, in turn, ruled that the family had waited too long to act and dismissed the case.

While this Boogaard lawsuit is broadly aimed at the N.H.L., it details the care that Boogaard received from specific team doctors of the Rangers and Minnesota Wild, and the co-directors and a primary counselor of the league’s Substance Abuse and Behavioral Health Program, which oversaw Boogaard’s care after he entered rehabilitation while playing for the Wild in September 2009.

In July 2010, after five seasons with the Wild, Boogaard signed a four-year, $6.5 million contract with the Rangers. His last game was on Dec. 9, 2010, when Boogaard sustained a concussion — one of dozens, the family believes — during a fight in Ottawa.

The next April, after stumbling on the ice during a Rangers workout, Boogaard was sent to drug rehabilitation a second time. It was during that stint that he was granted two extended, unsupervised recesses. He died in his Minneapolis apartment on the first night of his second leave.

The lawsuit notes that Boogaard played in 277 N.H.L. games over six seasons and scored three goals. He fought at least 66 times on the ice and, according to the suit, “was provided copious amounts of prescription pain medications, sleeping pills, and painkiller injections by N.H.L. team’s physicians, dentists, trainers and staff” to combat the injuries and pain he endured.

For example, the suit alleges that Boogaard was given at least 13 injections of Toradol, a masking agent for pain, in the last two years of his career, by doctors of at least seven N.H.L. teams.