Liam Laverick, of Beeford Grove, appeared at Hull Magistrates' Court on Wednesday charged with the manslaughter of Tommy Lee Laverick-Whitworth.
The baby boy died at Leeds General Infirmary on 25 September after an ambulance was called to an address in Anlaby Road, Hull two days earlier.
Mr Laverick was remanded in custody and will appear at Hull Crown Court on 3 June.
A man has appeared in court charged with killing his four-week-old son.