Tessier and Teissier are surnames of French origin. Notable people with the surname include:

• Albert Tessier (1895–1976), French-Canadian priest, historian, and filmmaker
• Bernard Teissier (born 1945), French mathematician
• Charles Tessier (c. 1550 – after 1604), French composer and lutenist
• Christian Tessier (born 1978), Canadian actor
• Claude Tessier (1943–2010), Canadian politician from Quebec
• Dan Tessier (born 1979), Canadian professional ice hockey player
• Élizabeth Teissier (born 1938), French astrologer and former actress
• Emilie de Tessier (1850–1890), French cartoonist who worked under the pseudonym Marie Duval
• François-Xavier Tessier (1799–1835), Canadian doctor, publisher, and political figure
• Guy Teissier (born 1945), Member of the National Assembly of France.
• Henri Antoine Marie Teissier (1929–2020), French Catholic Bishop, Archbishop Emeritus of Algiers
• Joseph-Adolphe Tessier (1861–1928), Canadian politician from Quebec
• Jules Tessier (1852–1934), Canadian lawyer and politician from Quebec
• Mary Teissier (1917–1990), Ukrainian-French socialite and mistress of J. Paul Getty
• Odette Teissier du Cros (1906-1997), French ethnologist, curator
• Orval Tessier (1933–2022), Canadian professional ice hockey player
• Paul Tessier (1917–2008), French surgeon in the field of craniofacial surgery
• Pierre Le Tessier (1255–1325), French cardinal
• Robert Tessier (1934–1990), American actor and stuntman
• Thomas Tessier (born 1947), American author of horror novels and short stories
• Ulric-Joseph Tessier (1817–1892), Canadian lawyer, judge, and politician from Quebec

• Teisseire (disambiguation)