Lissauer is a German surname. Notable people with the surname include:

• Abraham Lissauer (1832–1908), Polish-German physician and archaeologist
• Ernst Lissauer (1882–1937), German poet and dramatist
• Heinrich Lissauer (1861–1891), Prussian-German neurologist
• Jack J. Lissauer (born 1957), American research scientist
• Robert Lissauer (1917–2004), American composer, author, and musicologist
• Trevor Lissauer (born 1973), American actor and musician
• Walter Lissauer (1882–1965), German-American member of the Early Birds of Aviation
• Woody Lissauer (born 1959), musician and producer best known for his work with the band Cubic Feet