There is the carrot and the stick as such a method, which many nations used. While it does build up a list of supporters, these are generally still a minority and require government support for suppression. There are exceptions, of course. British support was high in some colonies to the point some who gained independence didn't have a majority show wanted it (one of these non-majority states resulted in an embarrassing incident for the decolonisation committee when an independent country had a revolution to rejoin the British), the Romans managed to keep control of the eastern lands through loyalists and actually sort of assimilated with them to form the Byzantine Empire while the west fell into chaos, the Chinese in the current day keep control by having support in the built up, rich cities even though the peasants in the country almost invariably live in poverty.

Of course, your mileage may vary on whether it succeeds or not, I don't see many people jumping in favour of the nazi party, and they just loved this tactic. You have to combine fear and the carrot, and even then it eventually fails and you end up with some form of rebellion. (Examples: American revolution, Operation Valkyrie, etc)

Getting support is hard, your Loyalists are almost invariably a minority, at least at first. It would take some generations to get a loyalist majority (And you have to have given them a tonne of very, very good reasons to be loyal), and even then your mileage may vary yet again. It also depends on what you did to take them over. If you invaded and destroyed their government they will likely be pissed. If you invaded, destroyed their government, outlawed their culture, killed their civilians, burnt their towns and pillaged their coffers, they will be very, very pissed