Joseph Barlow Felt Osgood (1 July 1823 – 8 January 1913) was an American politician who served as the 14th mayor of Salem, Massachusetts as a member of the Republican party in 1865.

Osgood was admitted to the Massachusetts bar on 25 July 1849 and went on to practice law until he became a common council member from 1849 to 1853.

Osgood received the Republican nomination for Mayor of Salem in December 1864, and was elected to the position the following year.

Osgood was appointed as justice of the first district court of Essex County by Governor Thomas Talbot in July 1874.

In his later years, Osgood suffered from Dementia and ultimately died of the disease on 8 January 1913 in Salem, Massachusetts.