No sewing required! If you can cut a ziptie and untie/retie two knots, you're all set.
You can use whatever materials you choose. The links provided below are only an example. They do not represent either the lightest or cheapest components available.
12 easy steps -
Step 1: Order some webbing (the StrapWorks Simple Sling in Seatbelt Webbing
is a strong choice) Get two, both with loops in each end.
Step 2: Order some cinch buckles (OnRope1 Buckles
Step 3: Order some cord (Spyderline 3.8mm
Step 4: Gather all your materials and your hammock (including 2 zip ties).
Step 5: Cut the ziptie that holds the cover on your hammock ends (no harm done, it's just a plastic ziptie)
Step 6: Slide the cover back and observe the knot.
Step 7: Untie that knot.
Step 8: Tie a prussik knot to one of your cinch buckles using a length of the Spyderline.
Step 9: Tie the loose ends of the Spyderline (as if they were a single strand) you attached to your buckle to the HH end in the same method that it was originally tied (refer to the knot on the other end of your hammock if necessary).
Step 10: Replace the end cover and pull tight with a fresh zip tie.
Step 11: Repeat instructions for the other end of the hammock.
Step 12: Enjoy your new HH suspension.