The main responsibility of the House of Representatives is to represent the people of their district and make laws. According to the United States House of Representatives. The House has several key responsibilities, including: The House has the power to introduce and vote on bills, which can become laws if they are passed by the Senate and signed by the President. Each member of the House represents a district in their state and is responsible for listening to the concerns of their constituents and representing their interests in Congress.The House has the power to conduct investigations and hold hearings to oversee the executive branch and ensure that it is acting in the best interests of the country. The House plays a key role in setting the federal budget and approving appropriations for government programs.