The present disclosure generally relates to devices for covering an ear, and more particularly to such devices that are self-attaching and used for sound optimization, such as noise reduction. More specifically, the present disclosure is directed to hearing protection muffs that comprise a sound attenuating cap, a self-attachment member for engaging the sound attenuating cap to the ear of a user, and optionally a sealing member. Advantageously, the muffs of the present disclosure have good sound attenuating properties and do not require a band or other external attachment device to secure the muffs to the ear.