A 39-year-old man was scratched all over his body and a 14-year-old girl was bitten and scratched during the attack early on Monday in the mountainous city of Fagaras, a spokesman for Romania's emergency services said.
They were both treated at the municipal hospital.
The spokesman said the bear had left the forest and had come to the city in search of food. The animal ran off, frightened by the screams.
He said there were occasional attacks on humans in the Brasov area, home to many of Romania's bears.
Romania has between 5,000 and 6,000 wild bears.
Source: Press Association
Comment: See also this July report: Two shepherds mauled by bear in Romania; 7th attack for the country this year