Keiyo North Sub-County Police Commander Tom Makori told AFP Tirop’s husband Emmanuel Rotich was being stalked by police.
“The suspect called Tirop’s parents to tell them that he had done something wrong. So we think he knows what happened,” Makori said.
Makori provided further details about Tirop’s death in an interview with CNN affiliate Nation TV.
“When the police went to Tirop’s house, they found her in bed with blood under the bed and much of it on the floor,” Makori said.
“When the police examined the body, it appeared that she had been stabbed in the neck with what we suspect to be a knife.”
In a tweet published on Wednesday, the Kenya National Police Service (NPS) said Tirop was the victim of a “heinous crime” and promised “swift and thorough investigations”.
Tirop won bronze in the 10,000m at the 2017 and 2019 World Championships and finished 4th in the 5,000m at the Tokyo Games.
Last month, the 25-year-old made history by scoring 28 seconds off the long-standing women’s 10km world record at the Adizero Road To Records event in Germany.
Tirop finished in 30:01, breaking the previous record of 30:29 set by Moroccan Asmae Leghzaoui in 2002.
After the race, she said: “I am so happy to have broken the world record. I felt the pace was good. The course was also very good.”
At the 2015 IAAF World Cross Country Championships, Tirop became the second youngest gold medalist in women’s running history after Zola Budd.
Athletics Kenya said the country had “lost a gem that was one of the fastest growing athletics giants on the international stage, thanks to its eye-catching performances.”
World Athletics President Sebastian Coe also paid tribute to one of the sport’s “brightest young stars”.
“This is a terrible blow to the entire athletics community, but especially to his family, friends and Athletics Kenya and I send them our deepest condolences.”