His mother, Nadezhda Zvenigorodskaya, is a stage actress, and his father, Valery Kozlovsky, was a professor at Moscow State University specializing in marketing and mass communications. As a child Danila was slightly overweight. During his early years, he frequently changed schools, potentially due to discipline issues. In , he was accepted into the Kronshtadt Naval Military School, which he attended until his graduation in The role brought him his first theatre award: a special prize of Expert Council of the "Golden Sofit" the top-rated theatre award in Saint Petersburg for Best Debut. Then there was a role in the play Life and Fate , which premiered in Paris and the diploma performance "Warsaw Melody".