exhort, exhortation, urge

Definition:

The term "exhort" means to strongly encourage and urge someone to do what is right. Such encouragement is called "exhortation."

The purpose of exhortation is to persuade other people to avoid sin and follow God's will.
The New Testament teaches Christians to exhort each other in love, not harshly or abruptly.

Depending on the context, "exhort" could also be translated as "strongly urge" or "persuade" or "advise."
Make sure the translation of this term does not imply that the exhorter is angry. The term should convey strength and seriousness, but should not refer to angry speech.
In most contexts, the term "exhort" should be translated differently than "encourage," which means to inspire, reassure, or comfort someone.
Usually this term will also be translated differently from "admonish," which means to warn or correct someone for his wrong behavior.