The official website and Twitter account for Kaguya-sama: Love is War announced that the series will receive a third season and OVA.
Additional details such as the release date have yet to be announced for the third season. The OVA is scheduled for 2021.
The second season recently premiered in Spring 2020. A-1 Pictures was in charge of the animation production. The anime adaptation is based on the manga by Aka Akasaka.
Funimation describes the series as:
Known for being both brilliant and powerful, Miyuki Shirogane and Kaguya Shinomiya lead the illustrious Shuchiin Academy as near equals. And everyone thinks they’d make a great couple. Pride and arrogance are in ample supply, so the only logical move is to trick the other into instigating a date! Who will come out on top in this psychological war where the first move is the only one that matters?
*Updated typo on anime studio – 10/25/2020 2:28am PT