Can a spouse be "punished" on his job based on an action that their spouse committed. The spouse does not work for the same company.

Since family relation is not a protected class, the spouse has no legal job protection.

Yes, the spouse can be "punished".

Can a spouse be "punished" on his job based on an action that their spouse committed. The spouse does not work for the same company.

Perhaps but it would clarify things significantly if you told us exactly what you're talking about. It's often impossible to offer a valid opinion in the theoretical.

One member of management has stated that the spouse can not perform some duties of job because their spouse has committed a felony. Also employer stated spouse is not allowed on property unless they are a paying individual. Employer "threatened" spouse regarding no being allowed on property. Spouse has been employed at company for years.

No law would prevent it. It may be a stupid move and they may lose a good employee for no good reason, but no law states you can't fire an employee because their spouse committed a crime.

One member of management has stated that the spouse can not perform some duties of job because their spouse has committed a felony. Such as? If you don't want to provide details (such as what felony the spouse committed and what job duties the other spouse is being barred from doing) it is impossible to give you a specific answer.

Also employer stated spouse is not allowed on property unless they are a paying individual. Employer "threatened" spouse regarding no being allowed on property. Nothing wrong with that. There's no reason for anyone's spouse to be on the employer's property unless they are an employee or a customer.