What was the represenative government in the colonial period?

If you are referring to the American Colonial Period, then the colonies were "virtually" represented in British fashion by the colonial governors. Each colony had a legislature that could make and pass laws, but all laws had to be approved by the governor of the colony and he had a veto that could not be overidden. The problem with this system is the governors had no ties to the colonies and could not truly represent their interests to Parliment in Britain. Hence the famous statement "Taxation without Representation", hence the American Revolution.