Discuss your personal finances openly. If you can no longer afford the apartment for financial reasons, explain this to your landlord and ask them to cancel your lease without penalty. Show an employment termination letter or an unemployment letter as proof of financial hardship.
Provide a letter from your employer if relocating for your job. Job relocation or moving to another area for work warrants breaking an apartment lease. Talk with your landloord and explain your plans to move for employment reasons.
Use your money in savings to pay off the lease balance and avoid penalty. If nearing the end of your lease agreement, dip into your emergency funds and pay off the lease balance.
Make monthly rent payments until the landlord finds another tenant. Even if you can't physically remain in the apartment, agree to pay the monthly payment or a portion of the payment until someone new moves into the apartment.