Kuzma was attested in written sources in 1387 as Zalocha and Zaloucha, and as Kuzma in 1763–87. The name Kuzma is derived from the Slovene saint's nameKozma 'Cosmas'. Locally, the settlement is known as Kuzdobljan, which is derived through contraction of Koz Damijan 'Cosmas and Damian', referring to the local church.