Jason A. Branscome, of Ashtabula, is charged with injuring animals and domestic violence.
A local veterinarian say both kittens had severe head trauma.
The 29-year old Branscome was not home when police went to his home to remove his other pets and to talk to him.
A warrant is expected to be issued for his arrest.
If you know where this model citizen is, please call the Ashtabula police at 440-992-7172.