Rapson may refer to:
People John Rapson (1953–2021), American jazz trombonist Edward James Rapson (1861–1937), numismat and historian Ralph Rapson (1914–2008), American architect Rip Rapson (born 1952), American attorney and philanthropist Syd Rapson (born 1942), British politician; MP from Portsmouth North 1997–2005 William Sage Rapson (1912–1999), New Zealand and South African chemist
Places Rapson, Michigan, an unincorporated community in the United States