Respect the other person. A relationship is an exchange between equals, even when one person has authority over the other. Actively listen to the person. Validate their needs and opinions, including when you don't agree with them. Dismissing a person's beliefs will only alienate him or her and further aggravate the conflict. Acknowledge the issue. It's easy to pretend that everything is okay when it isn't. In the long run, this pretension only makes matters worse. It breeds resentment. Be open about any problem you may have to prevent prolonged damage to your relationship.
Discuss the problem. Honest, open communication is pertinent to conflict resolution. Share your thoughts and feelings on the subject while allowing the other person to do the same. Come to an understanding about where each of you stands on the issue.
Compromise. Relationships are about give and take. Know your deal breakers and adhere to them. But be willing to meet the other person somewhere in the middle on everything else. Both of you should feel good about the end result.
Renegotiate if necessary. Your conflict resolution may need re-evaluation after a period of time. If it isn't working out, make changes where necessary.
Source: www.ehow.com