The actor was presented with the accolade by Marvel Studios director Kevin Feige and director JJ Abrams. The event was also attended by Cumberbatch's The Power of the Dog co-star Kodi Smit McPhee.
Cumberbatch said that his Britishness had made the event "incredibly painful", but that he was embracing the "massive ego stroke". The Power of the Dog star also paid tribute to his wife and children, stating that his career "wouldn't be the half the ride without you".
He also thanked "a bunch of reprobates," who "love to be here to take the p*** out of me".
"I’m British, so part of me is finding this incredibly painful. The other part of me is quite enjoying this massive ego stroke", he said in his speech.
On his wife Sophie Hunter, he added, "Your support, your honesty, searing at times as it is, your style, your grace, your beauty, your generosity and your love are extraordinary".
"I’m really enjoying this but it wouldn’t be half the ride if I was on my own without you as it is with you".
Cumberbatch also said that they had created an "amazing family of three extraordinary human beings". He also thanked his children for keeping them grounded by calling him a "stupid fart-face".
"One day, in disguises, maybe we’ll sneak out here and have a little photograph all together on daddy’s star," he said. "But you’re my little stars and I adore you".
Cumberbatch has already received several nominations and awards for his role in Jane Campion's Western The Power of The Dog.
He was also nominated for best male actor at the Screen Guild Actor's awards, but lost out to Will Smith. He has been nominated for best actor at the 94th Academy Awards, along with this years Baftas for the performance.
