"I'm the head coach and I'm accountable for everything that goes on in my program," Bliss said in a hastily arranged campus news conference. "I accept that responsibility. I intend to cooperate fully as the inquiry continues. I'll do whatever I can to make things right."
Since 6-foot-10 junior forward Patrick Dennehy was reported missing in mid-June, Bliss has been scrutinized for everything from who he recruited to how closely he oversaw the team.
Dennehy's family complained that coaches didn't take seriously threats he had reported receiving. There also have been accusations of a variety of NCAA violations, prompting the university to launch an investigation.
Dennehy's body was found last month in Waco near a rock quarry. Carlton Dotson, 21, Dennehy's roommate and former teammate, was arrested and charged with his murder July 21, after reportedly telling authorities he shot Dennehy when Dennehy tried to shoot him.
After Bliss' brief resignation announcement, Baylor president Robert Sloan said the school's investigation committee already has discovered major violations regarding players getting paid and improper drug testing.
He put the program on probation for up to two years, saying it will not participate in any postseason tournaments next season, including the Big 12 tournament. He also offered to allow any player to transfer.
"Additional sanctions may be imposed as the investigation continues," Sloan said.
Sloan also said athletic director Tom Stanton, who hired Bliss, was resigning, even though he "had no direct knowledge of any of the infractions."
Sloan and Bliss were among nearly a dozen Baylor officials who attended a memorial service for Dennehy in San Jose, Calif., on Thursday. Baylor, the world's largest Baptist university with 14,000 students, will hold its own memorial Aug. 28 on campus.
Bliss, 59, has been a Division I coach for 28 seasons, working previously at Oklahoma, SMU and New Mexico. He arrived at Baylor in 1999 and in four years began turning around a program that had been placed on NCAA probation twice since the mid-1980s.
Baylor was 14-14 last season, but just 5-11 in the Big 12. The Bears were 61-57 in his tenure.
Dennehy, a transfer from New Mexico, who sat out last season because of NCAA transfer rules, was reported missing by his family on June 19, about a week after he was last seen on campus.
Baylor announced that Dennehy had disappeared and asked the public to help find him after his Chevy Tahoe was found June 25 in Virginia Beach, Va.
Dotson, 21, remains jailed without bond in his home state of Maryland and awaits extradition to Texas, which could take as long as three months.
After his arrest, Dotson told The Associated Press that he "didn't confess to anything."
Bliss has been guarded since Dennehy disappeared. He read prepared statements several times and limited his media exposure. Through it all, he steadfastly denied any wrongdoing.
"We have followed the rules, however difficult they may be, for 30 years," Bliss said on July 28.
He also said that, as far as he knew, his players had no more to do with drugs "than the man in the moon."
None of the schools where Bliss has coached have been cited for NCAA infractions while he was there. However, the Fort Worth Star-Telegram reported last week that Bliss left SMU months after an NCAA investigation uncovered evidence of what would typically be considered major rules violations, including booster payments to a player.
Baylor began its probe after allegations surfaced that a coach told Dennehy his education and living expenses would be paid if he gave up his scholarship for a year. The committee also examined whether Dennehy received $1,200 to $1,800 from an assistant coach toward a car loan for his sport utility vehicle, and if players passed urine tests despite smoking marijuana.
Bliss said Friday he resigned after being "made aware of some situations within our program."
"These were rules that over the years I've had great respect for. Despite things that have been said, we've tried to work real hard for 28 years to have a chance to work with young people," Bliss said.
By Matt Curry and Gretchen Parker