Erdogan defined the move as "national unity project", and said ethnic groups in Turkey had problems peculiar to themselves.
"Therefore, citizens of Kurdish origin have problems peculiar to themselves and we will deal with their problems with sensitivity," he said.
Erdogan said his government was also dealing with problems of minorities with sensitivity, and a meeting took place in Buyukada, Istanbul two months ago.
"We will work on amendments to regulations and circulars in the short term. In the medium term, we will make some legal arrangements and constitutional amendment can be made in the long term," he said.
Erdogan said these steps could change according to conditions.
"The sooner we reach a compromise, the sooner we make many amendments," he also said.
On European Union (EU) membership bid, Vanhanen said the sooner a candidate country progressed, the sooner it would become a member.
Vanhanen also said that EU member states should also keep their commitments to candidate states.
The Finnish prime minister said candidate countries would become an EU full member once they fulfilled membership requirements.
"Turkey will make its own homework, and the EU should open chapters, Vanhanen said.
However, there were unsolved problems regarding North Cyprus, the Finnish prime minister said.
Vanhanen said Ankara Agreement had to be ratified, and what he had heard abut Kurdish move and minorities would have a positive effect on EU membership process.
After the press conference, Erdogan hosted a luncheon in honor of Vanhanen.