A committed relationship is an interpersonal relationship based upon a mutually agreed-upon commitment to one another involving love, trust, honesty, openness, or some other behavior. Forms of committed relationships include close friendship, long-term relationships, engagement, marriage, and civil unions. A committed relationship is an interpersonal relationship based upon a mutually agreed-upon commitment to one another involving love, trust, honesty, openness, or some other behavior. Forms of committed relationships include close friendship, long-term relationships, engagement, marriage, and civil unions.