"Eddie and Hannah Redmayne are delighted to confirm they are expecting their second child," the 35-year-old actor's representative said in a statement issued to People magazine.
Baby on the way will join the couple's 16-month-old daughter, Iris Mary.
Redmayne and Hannah tied the knot in December 2014, just two months before he took home the Best Actor Oscar for his portrayal of Stephen Hawking in "The Theory of Everything".