Zeeman received the following awards for his contributions.
* Nobel Prize for Physics (1902)
* Matteucci Medal (1912)
* Elected a Foreign Member of the Royal Society (ForMemRS) in 1921
* Henry Draper Medal from the National Academy of Sciences (1921)
* Rumford Medal (1922)
* Franklin Medal (1925)
The crater Zeeman on the Moon is named in his honour.