Abstract: A securement device provides for efficient, releasable attachment of an electronic device or other article to the human body, such as on the lap or at any other appropriate anchor point. The securement device, which prevents the electronic device from slipping or dropping, features an encircling strap and coacting strips of hook-and-loop fastener material. Through the hook-and-loop strips, the strap secures itself around a limb or limbs or other appropriate anchor point while also holding the device. A first variation enables the user to secure one or more articles such as a laptop computer on the lap using a non-elastic strap which encircles both legs at the thighs. A second variation enables the user to secure a smaller device such as a palmtop computer or cellular telephone to a single thigh or to an arm. This version can make use of an elastic strap of generally greater width and shorter length.