A stretch-resistant occlusive device (100), and method of manufacturing such a device, having a helically wound coil (110) defining a coil lumen (109) extending along the entire axial length of the coil from a proximal end portion to a distal end portion. The device further includes a headpiece (104) having a proximal end, a distal end attached to the proximal end portion of the coil, and a headpiece lumen extending between the proximal and distal ends of the headpiece. An anchor filament (120) extends through the headpiece lumen, has at least one proximal end secured to the proximal end of the headpiece, and has a distal portion defining an eye positioned distal to the distal end of the headpiece. A stretch resistant member (130) is positioned within the coil lumen, has a proximal portion extending through the eye, and has at least one distal end secured to the distal end of the coil.