Membership in the U.S. House of Representatives is based on the population, and the number of seats is determined by the Census. By law, the number of voting representatives is set at 435. Each Congressman represents a home district that has a population of roughly the same as any other district. Every state has at least one member of Congress. Look at the following stories from the house history along with blogs, art, and multimedia. Each member of the U.S. House of Representatives take an Oath of Office. the leader of the House is the Speaker. Other leaders currently in the U.S. House.