In some applications of peeling of a pressure-sensitive adhesive tape, the substrate is thin and flexible, such as fabric, paper, leather, rubber, or skin. A thin strip, fixed at its ends, is considered as the substrate in this study. The strip and tape are assumed to be linearly elastic with negligible bending stiffness. The peel force depends on the adhesive fracture energy, the axial stiffnesses of the tape and strip, the initial slack of the strip, the initial location and length of the tape attached to the strip, and the peel angle of the force with respect to the line connecting the supports (or the local peel angle with respect to the side of the strip to which the tape is attached). Additional analyses involving an inextensible tape or an inextensible strip are included, along with an experimental result. The effects of various nondimensional parameters on the peel force are investigated.