The Jets also made the signing of defensive end Kevin Vickerson official on Tuesday.
Bowen, 30, spent the last four seasons with Washington after playing his first five years in Dallas. He signed as an undrafted free agent out of Hofstra in 2006. Bowen played in eight games after spending the first half of last season on the physically unable to perform list while recovering from a knee injury that cut short his 2013 season.
Hilliard, 29, spent the last six seasons with Detroit. He suffered a season-ending foot injury in last year's opener.
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