The actor, who has had roles on Homeland, Rescue Me and Third Watch, married Yumilka Valerio on Friday in a private ceremony in the Dominican Republic.
"This is the happiest and most blessed moment in our lives," the couple tell PEOPLE in a statement.
The pair said their vows at sunset while on the beach near the Lifestyle Holidays Vacation Resort in Puerto Plata. Raffaele Pitrella designed both the wedding gown and Perez's cream-colored suit. The bride's impressive veil had embroidery detailing.
Perez, 45, and Valerio, 27, have been dating for a year and this is the first marriage for both. The couple are currently honeymooning in the Caribbean.