The Crown's prizes included best drama series and four acting wins - for Gillian Anderson, Olivia Colman, Josh O'Connor and Tobias Menzies.
"What a lovely end to the most extraordinary journey with this lovely family," Colman said of her final series playing Queen Elizabeth II.
"I loved every second of it and I can't wait to see what happens next."
Becoming emotional, she added: "I wish my dad was here to see this. I lost my daddy during Covid, and he would've loved all of this."