Yes, you can put a clause like that in your lease.
However, even without that clause, a violation by the tenant that gets you fined would likely be sufficient grounds for termination and eviction.
The NJ landlord tenant statutes are at the following links:
Landlord tenant 46-8
http://law.justia.com/codes/new-jersey/2013/title-46/
Security Deposits 48-8-19
http://law.justia.com/codes/new-jers...ction-46-8-19/
Evictions 2A-18-51
http://law.justia.com/codes/new-jersey/2013/title-2a/
There's also a tenant's rights guide that cites statutes and cases.
http://www.lsnjlaw.org/Publications/...antsRights.pdf

