Pre-order registration and information is now available at longlivetheroadster.com.
Mazda dealers will finish the paperwork and deliver the special cars once they arrive.
Starting May 5, buyers who pre-registered at the Web site can return there to place a $500 deposit toward the purchase of the Launch Edition until the 1,000-car allotment is reserved.
Full pricing on the Launch Edition will be announced later.
Mazda on Monday said the 2016 MX-5 Miata will start at $25,735.
All Launch Edition MX-5s will come in Soul Red with a Sport Tan leather interior. Other details include 17-inch alloy wheels, heated seats, automatic climate control, SiriusXM satellite radio and a Bose nine-speaker audio system.
The redesigned MX-5 Miata is set to arrive in U.S. showrooms this summer.
Edmunds says: Last year's 2015 MX-5 25th Anniversary Edition sold out online in just 10 minutes.