Also on Boxing Day, a woman in Barnsley was bitten on the face by a German Shepherd cross, requiring her to have plastic surgery.
And, in Doncaster, a couple in their 70s were both bitten by a Belgian Malinois and required treatment for puncture wounds, the force said.
The spokesperson added: “Gatherings in your home, new toys, loud noises, the excitement from children can be overwhelming for dogs, and cause them stress or to act in a manner that wouldn’t usually be their character.
“Make sure your dog has somewhere safe and comfortable to go to when you have visitors.”