According to investigators, Greene punched his son in the chest inside of their home at 194-49 113 Avenue in St. Albans, when the infant would not stop crying.
The son was rushed to Queens General Hospital, where he was pronounced dead.
Investigators say Greene was taken into custody and charged with the death.
He apparently told investigators he was jealous because the infant was more attached to the mother than to him.
The mother was not at home at the time of the attack.
Officials say the infant was at least the fourth child to die from abuse in Queens in the past month. Yet another was critically injured in a separate case.