Zachery Ty Bryan struck a plea deal in his domestic violence case … and it looks like he won’t do any time behind bars.

The “Home Improvement” star pled guilty to 2 misdemeanor counts — menacing and assault in the fourth degree — for his arrest in Oregon last year after an altercation with his girlfriend.

According to legal docs … Bryan’s 2 felony charges — strangulation and coercion — along with several misdemeanor charges have been dismissed as part of the plea deal.

Bryan’s sentence includes 3 years probation during which he must complete a batterers intervention program.

We broke the story … the actor was arrested in October after allegedly attacking his girlfriend over missing phone charging cables.