Schmier is a German surname. Notable people with the surname include:
Adolf Schirmer (1850–1930), Norwegian architect
Astrid Schirmer, German operatic soprano.
August Schirmer (1905–1948), German Nazi propagandist
David Schirmer (1623–1686), German poet
Johann Wilhelm Schirmer (1807–1863), German painter
Friedrich Wilhelm Schirmer (1802–1866), German painter
Gerhart Schirmer (1913–2004), German officer
Heinrich Ernst Schirmer (1814–1887), Norwegian-German architect
Herman Major Schirmer (1845–1913), Norwegian architect and art historian
Marcel Schirmer (born 1966), German thrash metal musician
Markus Schirmer (born 1963), Austrian pianist
Øistein Schirmer (1879–1947), Norwegian gymnast
Otto Schirmer (1864–1918), German ophthalmologist
Rudolf Schirmer (1831–1896), German ophthalmologist
Ulf Schirmer (born 1959), German conductor