Poland's president vetoing bills has slowed down reform of the country's judicial system, Polish Prime Minister Beata Szydlo said in a radio and TV address on Monday.

"Despite common expectations of a court system reform, no one has implemented it for 28 years. We have undertaken this task since we are a responsible government. The Polish people in elections expressed their trust in the Law and Justice (party), and we keep our promises," Szydlo said in the address.

Szydlo stressed that Polish people had been wronged by the judicial system, and that she was being convinced about this during her everyday meetings with people.

"The Polish people ask me for an intervention since they are hopeless in confrontation with the judicial milieu," Szydlo said.

She added that the veto had slowed down reform. "What's more, it has been treated as an incentive by those fighting to uphold the unfair system," she added.

"We will not stray from the beaten path of repairing the state. We will not bow to pressure, to promptings; not now, so when if not now?" Szydlo asked.

Polish President Andrzej Duda said on Monday he decided to veto two of the three judicial bills passed recently by both houses of Polish Parliament, the Sejm and Senat.

The ruling Law and Justice party (PiS) proposed splitting the Supreme Court into three chambers, changing appointment regulations for its judges and retiring its present judges. The bill was passed by Sejm on July 20 and by the Senat on July 22.

The reform bill on Poland's Supreme Court has stirred up controversies in Poland and abroad.

The European Commission has expressed "grave concern" for "the clear risks for the independence of the judiciary" in Poland, saying it would take legal action against Warsaw.