Whether it's the Academy Award or a diploma, use your left hand to receive the award. This leaves your right hand available to shake the hand of the presenter.
Photo by worldwaterweek
You might remember from university graduation that you receive with your left and shake with your right. As we get older, we need a reminder this rule applies to other situations.
The last thing you want to do on stage is fumble around with your hands. You'll appear awkward to the audience. For many of us, this will make us more nervous during our acceptance speech.
Check out the link for other ways to prevent awkwardness when you receive a public award.
How to Receive a Compliment Without Being Awkward About It [Entrepreneur]