* "Passed" should be "past": "Past" is the correct preposition to use when referring to a location or point in time.
* "Allowed" should be "permitted": While "allowed" is grammatically correct, "permitted" sounds more formal and appropriate for a sign.
Here are some ways to write the sentence correctly:
* No boots permitted past this point.
* Boots are not permitted past this point.
* No boots allowed beyond this point.
You could also consider adding a reason:
* No boots permitted past this point due to [reason].