Vieweg is a German surname. Notable people with the surname include:
Alexander Vieweg (born 1986), German javelin thrower Eduard Vieweg (1797–1869), German publisher and bookseller Friedrich Vieweg (1761–1835), German publisher and bookseller Johannes Vieweg (born 1958), German-American medical professor Karl Friedrich Vieweg (fl. 1790), German entomologist Klaus Vieweg (born 1953), German philosopher Kurt Vieweg (1911–1976), German politician Olivia Vieweg (born 1987), German cartoonist and author
See also Vieweg+Teubner Verlag, a German publishing company