"A majority of the committee has decided that we want to hear Mr Snowden," said Roderich Kiesewetter, the conservative head of the committee set up to investigate the activities in Germany of the U.S. National Security Agency (NSA).
It has not yet been decided whether Snowden, who was granted asylum in Russia, should be invited to testify in person about the NSA surveillance that has soured ties between Washington and Berlin. Snowden risks being arrested and extradited if he sets foot in any U.S.-allied country.
He was charged last year in the United States with theft of government property, unauthorised communication of national defence information and wilful communication of classified intelligence to an unauthorised person.
An option would be for him to testify from abroad but the German opposition argues that Snowden would only be able to express himself freely if he were in Germany.
Angela Merkel's conservatives have so far rejected this, fearing that bringing Snowden to Berlin could further damage relations with Washington which have suffered from revelations that U.S. spies had tapped the German chancellor's own phone.
The centre-left Social Democrats (SPD), who share power with Merkel's conservatives in a 'grand coalition', have said they are open to questioning Snowden in Germany or Russia.