Governor Cuomo has signed legislation closing the state's so-called "double jeopardy loophole". It allows the state to prosecute someone for related federal crimes pardoned by the president.
The law does not apply to anyone who has already been convicted or pleaded guilty.
The legislation was pushed by Attorney General Tish James and was approved by the state legislature this spring.
Democrats say it will prevent President Trump from using his pardon power to get his associates off the hook.