Direct democracy and federalism are hallmarks of the Swiss political system. Swiss citizens are subject to three legal jurisdictions: the municipality, canton and federal levels. The 1848 and 1999 Swiss Constitutions define a system of direct democracy (sometimes called half-direct or representative direct democracy because it is aided by the more commonplace institutions of a representative democracy). The instruments of this system at the federal level, known as popular rights include the right to submit a federal initiative and a referendum, both of which may overturn parliamentary decisions.
By calling a federal referendum, a group of citizens may challenge a law passed by parliament, if they gather 50,000 signatures against the law within 100 days. If so, a national vote is scheduled where voters decide by a simple majority whether to accept or reject the law. Any 8 cantons together can also call a constitutional referendum on a federal law.
Similarly, the federal constitutional initiative allows citizens to put a constitutional amendment to a national vote, if 100,000 voters sign the proposed amendment within 18 months. The Federal Council and the Federal Assembly can supplement the proposed amendment with a counter-proposal, and then voters must indicate a preference on the ballot in case both proposals are accepted. Constitutional amendments, whether introduced by initiative or in parliament, must be accepted by a double majority of the national popular vote and the cantonal popular votes.

Approximately four times a year, voting occurs over various issues; these include both initiatives and referendums, where policies are directly voted on by people, and elections, where the populace votes for officials. Federal, cantonal and municipal issues are polled simultaneously, and a majority of votes are cast by mail. Between January 1995 and June 2005, Swiss citizens voted 31 times, to answer 103 questions. The most frequent themes are healthcare, taxes, welfare, drug policy, public transport, immigration, asylum and education.
Voter turnout in parliamentary elections saw a continuous decline since the 1970s, down to an all-time low of 42.2% in 1995. In recent years however, voter participation has been slowly growing again and was at 48.5% in 2011. The average turnout for referendums was at 49.2% in 2011. Federal popular initiatives of little public appeal sometimes cause participation of less than 30% of the electorate, but controversial issues such as a proposed abolition of the Swiss army or a possible accession of Switzerland into the European Union have seen turnouts over 60%.

More than 550 referendums have occurred since the constitution of 1848 (legislative or constitutional).