Not enough info. Are you using 120 volt circuit or 240? using ohms law using 120 you come out to nearly 17 amps so you should be fine as long nothing else is added to that circuit. however I think 240 is more efficient as it comes out to less then 9 amps.
Also I have no idea what type of thermostat you have- but assuming its the kind I am thinking of- you would want the power to go to the first thermostat that is the closest to breaker box and branch off the power live IN that box to the second thermostat only if the first box for thermostat has enough room and the theremostat has a extra terminal to branch off power like a plug does. Junction box is the easiest thing to do, but putting it walls or area where there is no easy access is not a good idea. In today's houses, we are so power hungry and we keep adding junction boxes all over the place its becoming a hazard. I would try to stay away from junction boxes if you can so there is no way to add more devices to that circuit so its stays a dedicated circuit.
Also what size wiring are you going with? 12? 10? hope nothingg less.