“适用的法律”常见的英文表达是 “applicable law” 。
例句：
The parties shall abide by the applicable law in performing this contract.（各方在履行本合同时应遵守适用的法律。）
We need to determine which applicable law governs this dispute.（我们需要确定适用于此纠纷的法律是哪一部。）