Actor Ashton Kutcher opened the show at the Shrine Auditorium in Los Angeles by welcoming “everyone in airports who belong in America”.
“You are a part of the fabric of who we are and we love you and we welcome you,” he said.
British actor Dev Patel branded Trump’s executive order “horrible” and “divisive” as he arrived on the red carpet.
The Slumdog Millionaire star said he found it “utterly devastating” that the US president has imposed a travel ban on nationals from seven Muslim-majority countries .
He told the SAG Awards’ official red carpet live stream: “I just flew in from India a day ago. When I heard the news it was utterly devastating.
“The first thing that came into my head was the children who arrive on these shores with hope in their hearts.
“It’s horrible. It’s divisive.
“I hope something changes and something can be done because it really is terrible.”