Tessier and Teissier are surnames of French origin. Notable people with the surname include:
Albert Tessier (1895–1976), French-Canadian priest, historian, and film makerBernard Teissier (born 1945), French mathematicianChristian Tessier (born 1978), Canadian actorClaude Tessier (born 1943), French politician from QuebecDan Tessier (born 1979), Canadian professional ice hockey playerÉlizabeth Teissier (born 1938), French astrologer and former actressEmilie de Tessier (1850-?), French cartoonist who worked under the pseudonym Marie DuvalFrançois-Xavier Tessier (1799–1835), Canadian doctor, publisher and political figureGuy Teissier (born 1945), Member of the National Assembly of France.Henri Antoine Marie Teissier (born 1929), French Catholic Bishop, Archbishop Emeritus of AlgiersJoseph-Adolphe Tessier (1861–1928), Canadian politician from QuebecJules Tessier (1852–1934), Canadian lawyer and politician from QuebecOrval Tessier (born 1933), Canadian professional ice hockey playerPaul Tessier (1917–2008), French surgeon in the field of craniofacial surgeryPierre Le Tessier (1255–1325), French cardinalRobert Tessier (1934–1990), American actor and stuntmanThomas Tessier (born 1947), American author of horror novels and short storiesUlric-Joseph Tessier (1817–1892), Canadian lawyer, judge, and politician from Quebec