The 'Vanderpump Rules' star was recently reunited with the dog after Leviss' mom said she was injured.
On Sunday, Kennedy shared a post to his Instagram Story showing his pet pooch, and announced the dog will now be known as Hippie.
"We've decided to rename this little beauty 'Hippie.' This is a tribute to my late godfather, George Michael's, dog's name," Kennedy wrote. "The only dog I saw around the house growing up."
"Although George and Hippie are in heaven now together, I know that they are watching over me now, a proud doggy papa!" he added.
Kennedy was reunited with his dog -- which he shared with ex Rachel Leviss until their split. Leviss and Kennedy got the dog in 2018, three years before ending their engagement, and she kept the canine in the breakup since her parents bought the dog for her.
The former couple's pup was in headlines recently after he allegedly bit Leviss' mother, Laura, while her daughter was in a mental health facility. Leviss' mom claimed that the dog was responsible for several biting incidents.
After the rehabilitation center was unable to find a trainer who could curb the dog's behavior, Leviss' mother recently told ET the facility "reached out to Lisa Vanderpump for financial assistance to hire a different trainer. Lisa offered to adopt Graham and he was picked up by Vanderpump Dogs Rescue on July 13."
Laura said the rehabilitation center was told "Vanderpump Dogs would either rehabilitate him and place him in a good home or he could live on her property until his dying day. My daughter nor I ever dumped Graham and want nothing but the best for him."
Last Thursday, Kennedy posted photos to Instagram of him and the pup reunited in Lake Tahoe, California, as the cast filmed season 11 of the hit reality show, without Leviss.
"Look who made his way back home, back into my life," Kennedy wrote. "I’ll take care of you forever and I love you."