An adjustable headstrap apparatus maintains the mouth of a user in a closed position to prevent sleep apnea. The apparatus utilizes two floating brackets positioned on opposite sides of the users head. Each bracket has three internal openings for receiving a first strap member having a chin support for supporting the chin and lower head of the user, a second strap member to maintain the apparatus on the head of the user, and a third strap member to be used around the back of the head of the user. Each strap member has an adjustment component, for instance a Velcro® attachment, which allows the length of the members to be adjustable through the brackets, so that the head strap apparatus can be sized for a comfortable custom fit around the head of the user. The head strap apparatus is thus comfortably and securely positioned on the head of the user to maintain the mouth closed during sleep and rest periods.