James Bryan Woods (died August 17, 1875) was a merchant and political figure in Newfoundland. He represented Port de Grave in the Newfoundland and Labrador House of Assembly from 1869 to 1873.
He was a business partner with his brother-in-law J. Shannon Clift in a commission merchant and ship brokerage business in St. John's.
His son Henry J. B. Woods also served in the Newfoundland assembly.