Shelton, entering his 10th NFL season, was released by the Miami Dolphins in February. He's started 125 of 130 games during his career. He started all 16 games at right tackle last year. In 2006 with the Dolphins, he started five games at left tackle before moving to right guard for the final 11 games.
"We had the opportunity to add an experienced, good player to the mix at offensive tackle," general manager A.J. Smith said in a statement. "L.J. has played both left and right tackle during his career. We were thin at the position and we were determined to find a talented player. We believe we've addressed the need with L.J. Shelton."
Shelton has also played for Cleveland and Arizona.
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