According to the American Political Science Association, the study of politics, government and international relations enables majors to "qualify for many different careers in private and public sector organizations, including careers in business, the law, state, local and federal government, journalism, international organizations and finance, political campaigns, interest groups and associations, and pre-college and college teaching. Political science training also provides valuable preparation for participating in community organizations, electoral politics, movements on behalf of specific policies, or even seeking elected or appointed positions in government."

Links for some of the many career possibilities:
Graduate School 
Law School
The World of Politics
Teaching and Education
Web Resources for Careers in Political Science