Ilinykh/Katsalapov won their third national silver medal at the 2014 Russian Championships behind Bobrova/Soloviev and then won silver at the 2014 European Championships with an overall score 1.1 points less than gold medalists Cappellini/Lanotte. At the 2014 Winter Olympics in Sochi, Ilinykh/Katsalapov were assigned to the free dance in the inaugural team event. They placed third in their segment and Team Russia won the gold medal. Ilinykh/Katsalapov then won the bronze medal in the individual ice dancing event behind champions Meryl Davis / Charlie White and silver medalists Tessa Virtue / Scott Moir. They scored personal bests in both segments and an overall total of 183.48 points. At 19 years of age, Ilinykh is second youngest Olympic ice dance medalist in history after Marina Klimova.