The team also released defensive tackle Montavious Stanley and linebackers Brian Iwuw and Tank Daniels, and withdrew its qualifying offer to linebacker Clint Ingram.
The moves continue an overhaul of a defensive front that finished with a franchise-low 14 sacks in 2009. Jacksonville drafted four defensive linemen, dealt underachieving end Quentin Groves, released defensive tackle Rob Meier and traded for veteran linebacker Kirk Morrison.
The Jaguars tried to dump Henderson during the draft, had no takers and decided to part with the eight-year veteran whose production dipped in recent years.
Henderson told 610 Sports Radio in Kansas City that he will visit the Chiefs on Wednesday. Newsday's Tom Rock tweeted Monday that Henderson's agent spoke to the Giants as both sides were "exploring options."
NFL Network insider Jason La Canfora reported Tuesday, citing a league source, that Henderson doesn't have a visit planned to Kansas City.
A first-round pick in 2002, the 6-foot-7, 335-pound Henderson averaged 84 tackles and 4.5 sacks during his first four seasons. He averaged 56.5 tackles and 2.5 sacks the last four years.
The Jaguars selected California's Alualu with the 10th overall selection, then added fellow defensive tackle D'Anthony Smith from Louisiana Tech in the third round. Throw in Terrance Knighton, who started every game as a rookie, and Jacksonville had little use for a 31-year-old lineman due to make about $5 million in 2010.
"Obviously we look at numbers at positions going into rookie minicamp, and I feel very good where we're at," Jaguars general manager Gene Smith said.
Many believed Henderson would be released last June after coach Jack Del Rio ripped him for pulling out of offseason drills, suggesting he wasn't committed and was faking a shoulder injury to avoid work.
Henderson and Del Rio eventually worked out their differences in a private meeting, and Henderson vowed he had "bought in."
Still, that was yet another problem for Henderson. His clothing company -- For Big Men, By Big Hen -- folded after opening in 2007. One of his closest friends, Marcus Stroud, was traded to the Buffalo Bills in March 2008. He also admittedly had other undisclosed personal issues that affected his play.
Ingram, a third-round pick out of Oklahoma in 2006, had 117 tackles as a rookie, but he hasn't been nearly as productive since. Jacksonville might have tried to trade Ingram during the draft, but he hasn't been medically cleared following a shoulder injury and arthroscopic knee surgery.
The Associated Press contributed to this report.