permanent residence — residing in a place indefinitely; for foreigners often refers to obtaining permanent residency status.
彼は家族と一緒に日本に永住することを決めた。
He decided to live permanently in Japan with his family.
永住権を申請するために必要な書類を揃えた。
I prepared the documents needed to apply for permanent residency.
永住できるかどうかは法務局の審査による。
Whether one can obtain permanent residence depends on the immigration office's screening.