Occluding device for occlusion of a body vessel and method for making the same

A method for making an occluding device for occlusion of fluid flow through a lumen of a body vessel, the method comprising:

• attaching a coating to an embolization coil that is substantially straight, the coating being nominally strained thereon and the embolization coil having a pre-curled tension to facilitate the embolization coil to be curled within the lumen of the body vessel when deployed;
• and
• constantly restraining the embolization coil from curling during and after attaching the coating until delivering the coil within the body vessel to reduce pre-deployment straining of the coating including containing a stylet wire within the embolization coil, the stylet wire being substantially straight to restrain the embolization coil from curling.