In one of the new lawsuits, an anonymous plaintiff listed as John Doe accuses Mr Combs of assault following an encounter at the Marquee nightclub in New York in 2019.
According to his complaint, he joined Mr Combs and 10 other individuals for a private afterparty when the hip-hop mogul “personally offered” him a cocktail, after which he felt disoriented. The man alleges that Mr Combs noticed his disoriented state and said: “He is ready to party.”
The man claims he blacked out and during brief moments of consciousness, he said he noticed a man and a woman recording as he was being raped by the musician.
The following morning, the man claims he was given about $2,500 (£2,000) by the man and woman recording the assault, who said the money came from Mr Combs.
Another anonymous plaintiff alleges that he attended a party at Mr Combs’ East Hampton home in the summer of 2020. After consuming alcohol provided by Mr Combs, the man claims he began to lose consciousness.
While “fading in and out of consciousness”, he alleges that Mr Combs and others from Bad Boys Entertainment “took turns raping him”.
The third anonymous man claims he met Mr Combs in 2006 and began working for him.
He alleges that in February 2020, he met Mr Combs at a hotel to discuss unpaid wages and during that meeting, he claims the rapper prepared him a drink that he believes was drugged.
He says he lost consciousness and woke up to find Mr Combs assaulting him.
Mr Combs allegedly told him he would look like an idiot if he went to the police and that no-one would ever believe him, the lawsuit states.
Mr Combs is also separately facing federal criminal charges in a sex-trafficking and racketeering conspiracy.
Authorities allege the star orchestrated a long-running scheme involving sexual abuse and exploitation, including arranging drug-fuelled events featuring male sex workers.
Mr Combs has pleaded not guilty to all the accusations.
His legal team has repeatedly asserted his innocence.
The trial is scheduled for May.