A handle grip for resiliently attaching to a handle tube having a predetermined outer diameter includes a grip body formed of a resilient material and having a first end and a second end. An inner bore which has a diameter slightly smaller than the predetermined outer diameter of the handle tube extends from the first end of the grip body toward the second end of the grip body. An attaching portion is formed in an outer surface of the grip body adjacent to the second end of the grip body. The attaching portion includes at least one engaging groove formed therein. A cap member includes at least one engaging projection. The cap member is positioned on the attaching portion with the engaging projection being received within the engaging groove. Mounting the cap member on the attaching portion and mounting the grip body on the handle tube creates a resilient expansion force due to the smaller diameter of the inner bore of the grip body relative to the predetermined outer diameter of the handle tube for securely retaining the cap member to the grip body.