Ho'oponopono is a Hawaiian practice of reconciliation. In its modern meditation form, the whole practice is four phrases, offered slowly, from a settled place: I'm sorry. Please forgive me. Thank you. I love you. You can direct them at yourself, at another person, at a situation, or at everything at once. The words do the work by being said, and meant.
Ho'oponopono (pronounced ho-oh-pono-pono, roughly "to make right") is a traditional Hawaiian family and community practice of reconciliation. In its original form it was a facilitated ritual, often led by a kahuna, in which a family gathered to name a harm, listen to each person's part in it, ask forgiveness, and restore right relationship. The word breaks down as ho'o (to make) and pono (right, balanced, harmonious). The doubled form intensifies it: to make very right.
The modern personal-meditation form of Ho'oponopono was developed by Morrnah Nalamaku Simeona, a Hawaiian kahuna and healer, in the twentieth century. She adapted the community ritual into an inner practice that a single person could do alone. Her student, Dr. Ihaleakala Hew Len, then brought it to wider attention, and Joe Vitale's book Zero Limits popularized it in the West.
The four phrases are the Simeona-Hew Len distillation:
Say the phrases slowly. Let each one arrive before you move to the next. The order matters less than the presence you bring to each one.
Moksha's five-step self-release loop (find the charge, be with it, recognize the source, release the investment, notice the softening) is essentially what Ho'oponopono does in devotional language. I'm sorry is finding the charge. Please forgive me is being with it. Thank you is recognizing the source. I love you is the release. And what comes next, if it comes, is the softening.
You do not have to believe anything for the practice to work. You do not have to know who or what you are addressing. Say the words. Mean them as best you can. Let the words do the rest.