In response to the potential issue of transaction amount leakage in current blockchain systems, we have explored an efficient, low computational complexity method for the secure verification of transaction amounts in blockchain, which also protects privacy. Utilizing homomorphic encryption and digital signature technology, we propose the use of the Paillier algorithm for the verification of transaction amounts in blockchain. This approach aims to protect the amounts sent and received in blockchain transactions and provides the functionality to update the balances of the transaction parties in an encrypted state. Through in-depth security analysis and experimental evaluation, this solution has been verified to not only meet security requirements but also achieve our performance expectations.