A golden boot winner in La Liga and the Champions League last season, Benzema picked up the men’s player award.
The 34-year-old, who is a leading contender for this year’s Ballon d’Or, fought off competition from Real Madrid team-mate Thibaut Courtois and Kevin de Bruyne of Manchester City.
Benzema netted 27 goals in the Spanish top flight, nine more than any other player, while also scoring 15 in the Champions League.
Meanwhile, Ancelotti wins the men’s Coach of the Year award after he became the first manager to win the title in all five of Europe’s major leagues when Real claimed their 35th La Liga.
The Italian also became the first coach to win four Champions League trophies when he guided his team to victory in the final against Liverpool.
Despite missing out on Euro 2022 with a knee injury, Putellas won the women’s player award for a second year running.
The 28-year-old Spaniard beat Arsenal and England forward Beth Mead – the Euros golden boot winner – and VfL Wolfsburg and Germany midfielder Lena Oberdorf.
Before tearing her anterior cruciate ligament on the eve of the Euros, Putellas helped Barcelona win a third successive Primera Division title and reach the Champions League final, which they ultimately lost to Lyon.