The vehicle-to-vehicle (V2V) charging mode of charging stations solves the problem of users being unable to charge immediately due to the absence of charging piles during peak charging times. However, in blockchain-based V2V power transactions, attackers collect private information such as the payment address and transaction amount of electric vehicle owners through ledger information. This makes the relationship between electric vehicle owners and the charging behavior the object of inference attacks, resulting in user privacy disclosure and unfair trading. To solve these problems, we propose a communication scheme with privacy protection in V2V power transactions based on a linkable ring signature. We use a linkable ring signature algorithm to sign EV account addresses and payment information, ensuring the non-traceability of V2V transactions. In addition, we design a stealth address algorithm to avoid inferential attacks in V2V power transactions due to the exposure of the actual account address. The theoretical analysis proves the scheme’s security, and the experiment shows that the scheme has lower computing costs, so it is more suitable for V2V scenarios with limited computing resources.