In some instances patients in serious condition can be visited with permission by the hospital management.
Gergely Gulyás noted that the government has asked lawmakers to prolong the measures until Jan. 1.
The sixth phase of the gradual easing of restrictions entered into force on Saturday.
As a general rule, masks will no longer be required indoors and people will be allowed to go to hotels, restaurants, baths and water parks without an immunity certificate.
The decree includes details on the attendance of outdoor and indoor events.
Hungary passed 5 million vaccinations over the weekend, allowing it to lift most of its coronavirus restrictions.
The Indian variant of the coronavirus had not been detected in Hungary but “there is a chance” that it would.
Gergely Gulyás said Hungary “leads the pack” with nearly 56 percent of adults inoculated.
Thanks to its vaccination drive, Hungary has been able to break out of the third wave of the coronavirus pandemic.
According to an announcement on kormany.hu, when the number of those vaccinated reaches 4 million, new measures will take effect which are linked to the certificate of immunity.
Prime Minister Viktor Orbán has announced on social media that the number of those vaccinated against Covid-19 has reached 3.5 million.
Gergely Gulyás said Hungary will surpass 3.5 million vaccinated people tomorrow, so terraces can reopen on Saturday.