Dybwad or Dybvad is a surname. Notable people with the surname include:
- Christoffer Dybvad, (1578–1622), Danish mathematician
- Gunnar Dybwad (1928–2012), retired Norwegian football forward
- Gunnar Dybwad (1909–2001), American professor and advocate for the rights of people with disabilities
- Iacob Dybwad Sømme (1898–1944), Norwegian ichthyologist and resistance member
- Jacob Dybwad (1823–1899), Norwegian bookseller and publisher, and a pioneer in the Norwegian publishing trade
- Johanne Dybwad (alpine skier) (1918–2011), Norwegian alpine skier who competed in the 1936 Winter Olympics
- Johanne Dybwad (1867–1950), Norwegian stage actress and stage producer
- Jørgen Dybvad, (died 1612), Danish theologian and mathematician of the sixteenth and seventeenth century
- Ola Dybwad-Olsen (born 1946), Norwegian former footballer who played as a striker
- Vilhelm Dybwad (1863–1950), Norwegian barrister and writer