She added: "He actually started a little fight with me and threw me off. I was like 'Oh my God, things aren't great.
"He surprised me at the end of the night ... [when] he popped the ring out. It was amazing."
The couple only made their red carpet debut together at a pre-Emmy Awards party last month, and they were first seen before that at a horse ranch in California in August.
Neither of the them have been married before, although Kaley - who was briefly engaged to addiction specialist Josh Resnik and secretly dated her Big Bang Theory co-star Johnny Galecki, for two years - recently split from Man of Steel actor Henry Cavill.
Speaking about their break-up, a source previously said: "She just got overwhelmed with the very public Superman relationship.
"She's not used to that much attention and chaos in her life."
- Bang! Showbiz