This article engages with debates concerning the moral worth of human beings with profound intellectual and multiple disabilities (PIMDs). Some argue that those with such disabilities are morally less valuable than so-called normal human beings, whereas others argue that all human beings have equal moral value and that, therefore, each group of humans ought to be treated with equal concern. We will argue in favor of a view that takes points from opposing camps in the debates about the moral worth of humans with such disabilities. Our position, roughly, is this: most humans with PIMDs are persons in the morally significant sense and, therefore, deserve moral consideration equal to that granted to so-called “normal” human beings. Some humans with PIMD may not be persons, but nevertheless deserve moral consideration equal to that of persons because they stand in a special relation to persons.