With the development of blockchain, the demand for the cross-chain transfer of the on-chain digital assets, such as Non-Fungible Tokens (NFTs), is increasing. The notary scheme is a kind of cross-chain mechanisms with low complexity to achieve the above demand. Although many NFT cross-chain methods and protocols have been invented, the method based on the notary scheme has not been widely studied at this stage. Therefore, we improve the traditional notary scheme and propose an NFT cross-chain transfer model with it. In this paper, we introduce NCTN, a trusted NFT cross-chain transfer model based on the notary group and design the cross-chain transaction protocol in detail according to NCTN’s architecture. To ensure the availability of the model, we then present an effective reputation value model, which is used as the basis for the reliable election in the notary group. Experiments show that our model can well complete the tasks of cross-chain transfers of NFTs and has good performance in transaction response time; our reputation value model can well avoid the problem of excessive centralization and can ensure the reliability of notaries.