The baby was treated by paramedics at about 01:00 GMT on Sunday at a property on Charles Street, Blackpool.
The victim "remains very poorly" at Alder Hey Hospital in Liverpool, police said.
Tomasz Raszkiewicz, 32, of Central Drive, Blackpool has been remanded in custody to appear before Blackpool Magistrates' Court on Wednesday.
A 34-year-old woman who was arrested on suspicion of wounding has been released on bail.
Two other men arrested as part of the investigation were released with no further action.
A man has been charged with grievous bodily harm with intent after a month-old baby suffered a "serious injury".