Police were called to an address on Frank Street, in the Little Horton area of Bradford, at 7.26pm yesterday and had to shoot the animal so paramedics could treat the boy.
A West Yorkshire Police spokesman said:
The child was then taken to Leeds General Infirmary where his condition this morning is described as stable, with injuries which are not believed to be life-threatening.
Inquiries are now ongoing as to the breed of the dog and to establish whether any criminal offence has been committed.
More top news
Peter Martinez's remains were discovered in a five-gallon bucket filled with cement up to his shins.
Warmer - even without wall to wall blue skies
The telecoms company announced a 9% rise in profits after increasing prices for TV and broadband customers.