The team announced the deals Thursday, one day after Jaso was acquired from Seattle in a three-team trade that also included the Washington Nationals.
Jaso gets $1.8 million after hitting .276 with 10 homers and 50 RBIs in 108 games with the Mariners last season, when he earned $495,200. He had a .394 on-base percentage and batted .378 with runners in scoring position.
Smith's deal is for $3,675,000. He batted .240 with 14 home runs and 52 RBIs for the AL West champions last year, when he made $2,415,000.