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The girls were celebrating a birthday at an escape room in the northern town of Koszalin when the fire broke out. The venue's owner was arrested on Sunday, Polish media reported.
Authorities carried out inspections of at least 178 escape room locations across Poland at the weekend and found 129 did not meet health and safety standards, said the head of state fire services Leszek Suski. Thirteen locations were ordered closed.
In escape rooms, participants are locked in and race against the clock to solve puzzles and challenges to open a way out.
"This was unprecedented ... any sort of prevention is important," Morawiecki told reporters.
Interior Minister Joachim Brudzinski urged parents to report potential safety violations at escape rooms or other children's entertainment centres. "Sanctions need to be harsh," Brudzinski said.
Morawiecki said he had ordered a report on the around 1100 escape rooms or similar locations across Poland and the government would determine if changes to safety regulations were needed.