Nylon, like polyester, rayon and acrylics, is a synthetic fabric that requires special care. While it offers many benefits, like lightweight feeling, easy dirt removal and semi water resistance, removing wrinkles from the fabric is a challenge. It so closely resembles plastic that ironing offers the potential for a melty nightmare. Nylon typically doesn't attract wrinkles when cared for properly. But if you've just unpacked a brand new nylon jacket and it resembles a crinkled piece of paper, fix it so you can wear it out.
Wet the jacket in lukewarm water by running it under a sink faucet. Alternately, wash it in cold or warm water on the delicate or gentle cycle. Wring out any excess water so that the jacket remains damp, wringing vertically from top the bottom to smooth out the wrinkles.
Turn the clothes dryer setting to "permanent press" or the lowest heat setting to stop the nylon from wrinkling. Place the damp jacket into the dryer. Remove the jacket before it is completely dry and still has a noticeable amount of moisture. Check the garment every 10 minutes or so while it is in the dryer as nylon typically dries very quickly.
Remove the jacket from the dryer as soon as it is ready otherwise you bear the risk of creating new wrinkles. Place the jacket on a garment hanger and hang it in a dry location. While it is hanging, the wrinkles from the nylon jacket will smooth out over the course of a few hours.
Use the iron on its lowest heat setting if this process doesn't remove all of the wrinkles.