Their bodies were discovered inside a 15th-floor apartment in the Fredrick Douglass Houses on 104th Street on the Upper West Side.
One of the victims' daughters requested a wellness check because she had not heard from her father in several days.
When officers arrived around 7:30 p.m. Monday, they found the men unresponsive.
Inside, investigators found a 65-year-old man with stab wounds to his head and hands, and a 60-year-old man who appeared to have hanged himself.
However, an investigation into their causes of death is still ongoing.
EMS technicians pronounced both men dead at the scene.
So far, police have not named the victims.
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