Texas law allows tenants to break a lease early without penalties, as long as certain conditions are met. Under Texas law, tenants may break their lease without penalty in some situations.I moved into my current apartments in May, I only signed the lease because they offered 6 weeks free which could be divided within the 12 month lease. This article discusses what to do when your lease ends or you need to terminate your lease early. Use the Early Termination Clause. You will need a legal justification to break a lease in Texas without facing financial or legal consequences. Survivors of domestic or sexual abuse also have the legal right to terminate leases without repercussions in Texas. Complete the lease and leave no damages to the property. Yes, move out on time and give your required end of lease notice.