Myanmar national Naing Lin, 49, is said to have killed Mr Myo Kyaw Thu, also 49, in a unit on the 10th storey of Block 613, Bedok Reservoir Road, between 6.09pm and 6.21pm on Friday (April 2).
Court documents did not reveal any details about how the men were related to each other.
Police, in a statement earlier, said that they were alerted to the incident at around 10.15am on Saturday.
Officers arrived at the unit and found the victim lying motionless at the scene.
A resident, who lives in the same block and wanted to be known only as Mr Seow, 55, told Chinese-language newspaper Shin Min Daily News that the unit was cordoned off at noon on Saturday.