The data show 3,509 Hungarians registered as jobseekers for the first time during the month.
The total number of new jobseeker registrations, including repeat registrations, reached 29,497.
Around 42% of registered jobseekers received no jobseekers' allowance or social assistance in June.
About 36% had been seeking work for longer than a year. Jobseekers were registered for 501 days on average.