A Florida jury assessed Gawker Media millions more in punitive damages on Monday for having invaded the privacy of the retired wrestler Hulk Hogan, adding to the $115 million it awarded in compensatory damages last week.

After a two-week trial in a St. Petersburg, Fla., courtroom, jurors ordered Gawker, an online news organization, and its two co-defendants to pay the 62-year-old former wrestler — addressed in court as Terry G. Bollea, his given name — more than $25 million in punitive damages.

Gawker Media was ordered to pay $15 million; the company’s founder, Nick Denton, was assessed $10 million; and Gawker.com’s former editor in chief, Albert J. Daulerio, must come up with $100,000.

In court, Mr. Bollea did not visibly react to the latest award, in contrast to Friday, when he burst into tears. In a statement after Monday’s decision, Mr. Bollea’s lawyers said the former wrestler felt vindicated, expressing the hope that the ruling would “deter others from victimizing innocent people.”