At this time Kraken does not support Binance Chain (BNB) or the Binance Smart Chain (BSC) (BEP2/BEP20 Tokens).

BEP2/BEP20 tokens deposited to any Kraken address will not be credited and will result in the loss of your deposit. While BEP20 tokens use the same address format as Ethereum they are separate networks. Binance also provides such a warning on their withdrawal pages.