Uno began his season by winning his second senior international competition at the 2014 Asian Trophy. He was assigned to the JGP events in Japan and Croatia. He placed second in Japan and first in Croatia with new personal best scores and qualified for his first JGP Final. He won his first junior national title at the 2014–15 Japan Junior Championships. The following month, he won gold at the JGP Final, placing third in the short program, and winning the free skate while setting junior world records for the free skate and combined total. At the 2014–15 Japan Championships, he placed 3rd in both segments of the competition, winning the silver medal.