"So happy. So relieved. So hung over!" the 38-year-old actor wrote.
The longtime couple has over the course of their relationship kept relatively quiet about their personal life, though Behrs did open up about Gladis to People last year, calling her now fiance, "the best."
"We cook together," she revealed. "He actually has taught me about cooking. When we met I didn't know where kale was in the grocery store."