The deal is reportedly worth $2.5 million for the 2019 season, according to Joel Sherman of the New York Post.
The Philadelphia Phillies recently non-tendered Bour after he was acquired from the division-rival Miami Marlins for the team's ultimately unsuccessful postseason run. Over 141 games between the two clubs in 2018, Bour posted a .227/.341/.404 slash line with 20 home runs and two stolen bases.
Bour fits as a first baseman or designated hitter on an Angels roster that already features Shohei Ohtani and Albert Pujols. Ohtani, the two-way phenom, underwent Tommy John surgery at the end of the 2018 season and, while he is expected to still act as a hitter, Angels manager Brad Ausmus said Ohtani likely won't be ready for Opening Day.
He memorably participated in the 2017 Home Run Derby held in Miami while a member of the Marlins. In the first round, Bour went off and hit 22 dingers, though he fell short of beating eventual champion Aaron Judge.