encourage (to give someone support, confidence, or hope): My father encouraged me to apply for the job.
cheer (to make someone feel happier or more hopeful): We were cheered by the news.
uplift formal (to make someone feel happier or more hopeful): The quote uplifts me when I am discouraged.
hearten (to make someone confident or cheerful): It heartens me to see you so happy.
spur (to encourage; give an incentive to): His advice spurred me into action.
buck up informal (to make or become more cheerful, hopeful, or confident): Buck up, buddy! It’s not the end of the world.