In the age of Industry 5.0, the industrial Internet of Things (IIoT) system has changed from the original “cyber-physical” system to a complex “human-cyber-physical” system, data security issues become more important. Blockchain technology can be used to ensure the security of IIoT data. However, the traditional blockchain system uses Merkle trees to store data, in which the proof size is large when verifying the integrity and correctness of the data. And it is unable to perform batch verification of the data. Large size proof will bring great pressure to communication, causing end-to-end communication delays, which seriously affect the stability, efficiency, and security of IIoT system. To solve it, in the paper, the incremental aggregator subvector commitment (IASVC) is used to replace Merkle tree, which reduces the size of proof and communication consumption. Each block processes 1000 transactions, the proof size of a single data piece is 15% of the original scheme. Moreover, our scheme can realize the aggregation verification of the proof. In addition, the qualifications of data upload on nodes are set using IASVC, which can reduce the storage pressure of nodes by storing a single commitment instead of the entire qualification list.