According to the Federal Aviation Administration, you can carry safety matches in your carry-on. Strike anywhere, on the other hand, is forbidden. So, good news for those who want to purchase a Glint Design Cigarette Match case as a gift: you can purchase it ahead of time and carry it with you!
Here's the exact quote from the Federal Aviation Administration site
"Quantity Limits: One book/packet of matches in carry-on or on the person. When a carry-on bag is checked at the gate or at planeside, any matches in the carry-on must be removed from the bag and kept with the passenger in the aircraft cabin. Strike-anywhere matches are forbidden."