MADRID — King Felipe VI of Spain decided on Tuesday that none of the country’s political parties had enough support to form a government, setting the stage for an election in June, six months after voters ended the nation’s traditional two-party system.

The king announced his decision after spending two days meeting with party leaders, including those in charge of the conservative Popular Party, the center-left Socialists, the far-left Podemos party and the business-friendly Ciudadanos party.

His decision means that no party will be able to assemble a minority or coalition government that would assume control of the 350-member lower house of Parliament by May 2 and sets up a new election for June 26.

Spain has been politically paralyzed since its national election on Dec. 20, in which Podemos and Ciudadanos emerged as strong No. 3 and No. 4 parties, after decades of alternating rule between the Popular Party and the Socialists.