Danes, eye-catching in a bright yellow dress that gracefully draped the pregnant actress, was effusive.
"My husband, my love, my life, my baby daddy, this doesn't mean anything without you," she said to her spouse, actor Hugh Dancy.
Backstage, Danes said she particularly appreciated one fan: President Barack Obama has said he's a fan of Homeland, about a Marine and former POW who's suspected of working for al Qaeda.
"No pressure," the actress said. "It's way cool that he is a fan. It speaks to the relevancy of the show and it's hugely validating."
The acting trophies, along with a best writing award for the show, gave Homeland momentum as it headed toward the best drama award.
In picture: Claire Danes accepts the award for outstanding lead actress in a drama series for Homeland.