During the press interviews he said he would avoid picking up his phone for a while but quickly added that his mother had a sense of humour.
Ugandans have congratulated him for his win:
"Congratulations Kaluuya. You are always proud of your motherland and your motherland is proud of you!" Marcella Karekye tweeted.
"Daniel Kaluuya has us Ugandans another Oscar. Its really a good morning alhamdulillah," Kabaka Chosen wrote.
"Kampala, Uganda got a shout out at the Oscars. Thank you for repping the village, Daniel Kaluuya. So proud of you. We Out Here," Colonel tweeted.