Martin signed a minor-league contract with the Angels on Friday that includes an invitation to spring training.
Martin signed a minor-league contract with the Dodgers on Tuesday, Chris Hilburn-Trenkle of Baseball America reports.
Martin elected free agency after he cleared outright waivers Saturday.
Martin was optioned to Triple-A Round Rock on Wednesday.
Martin is out of the lineup for Wednesday's game against the Diamondbacks.
Martin went 1-for-4 with two RBI in Tuesday's 3-1 win over Arizona.
Martin went 2-for-4 with a two-run home run in Friday's 3-2 loss to the Angels.
Martin isn't starting Wednesday's game against the Rockies.
Martin is not starting Tuesday against the Rockies and left-hander Austin Gomber.
Martin will sit Saturday against Houston.