A letter of instruction is an informal, unwitnessed document left alongside an estate plan, addressed in practice to whoever will wind up your affairs. It typically records where the original will and other documents are kept, which accounts exist and at which institutions, who your professional advisors are, what obligations and subscriptions recur, and any wishes about a funeral or about particular personal belongings that do not belong in a will. It carries no legal force at all.
The same document is variously called a letter of intent, a letter of wishes or a side letter, and no issuing body appears to have settled a name for it. "Letter of instruction" is used here because the two commonest alternatives are already taken elsewhere in finance: a letter of intent is a commitment to invest enough in one fund family to reach a sales-charge breakpoint, and in commercial real estate it is the non-binding outline of a proposed purchase. Those are unrelated instruments, and a reader who searched for either would be in the wrong place. A related but distinct document is the letter a parent writes for whoever will care for a child with a disability, describing routines, preferences and medical history; that has a different audience and a different job, and it is not what this page covers.