Henrich is both a surname and a given name. Notable people with the name include:
Surname:
Adam Henrich (born 1984), Canadian ice hockey player
Bernhard Henrich, set decorator
Bobby Henrich, American baseball player
Christy Henrich, American gymnast
Dieter Henrich, German philosopher
Michael Henrich, professional ice hockey player
Tommy Henrich, American baseball player
Given name:
Henrich Benčík, Slovak footballer
Henrich Focke, German aviation pioneer from Bremen
Henrich Herman Mejer Foss, Norwegian Minister of the Navy 1845-1848