(TMZ) Michael Vick has finally said squarely ... his family does indeed have a dog.

There's been a lot of controversy over whether Vick -- who served hard time for brutally killing multiple dogs, should own one again.

Vick says, "I understand the strong emotions by some people about our family's decision to care for a pet.  As a father, it is important to make sure my children develop a healthy relationship with animals."

Read more: TMZ