The Hollywood awards season has been overshadowed by a lack of diversity at the Oscars, with no black actors receiving nominations.
As well as Elba, acting union the Screen Actors Guild also honoured Viola Davis, Uzo Aduba and Queen Latifah with acting gongs.
“Ladies and gentlemen, welcome to diverse TV,” he said.
Addressing MPs in the UK at Parliament earlier this month, Elba warned that too often black actors were being cast as “petty criminals”.
“The Britain I come from is the most successful, diverse, multicultural country on earth. But here’s my point: you wouldn’t know it if you turned on the TV,” he said.