Polish Acting president Bronislaw Komorowski leads in the early elections, MillwardBrown SMG/KRC institute said citing exit polls.
The exit polls show that 45.7% voted for Komorowski and another 33.2% gave their votes for Jaroslaw Kaczynski, the late Polish president Lech Kaczynski's brother.
Komorowski became acting president after a host of senior Polish official including Lech Kaczynski died in western Russia on April 10 when the Soviet-made presidential Tu-154 crashed near the city of Smolensk.
The delegation was on its way to a ceremony to pay tribute to the some 20,000 Polish POWs killed by Soviet secret police during World War II in the Katyn forest in western Russia.
Russia's sincere reaction of sympathy after the crash partly made up for a coldness in bilateral relations and moved the countries closer to each other.
Komorowski said Friday that Poland and Russia can and should take new steps toward reconciliation.
He told RIA Novosti he had "already agreed with Russian President Dmitry Medvedev about his possible visit to Warsaw after the end of the presidential election in Poland."
Komorowski also said most Poles support the government's policy "on this difficult path" towards reconciliation with Russia.
He noted that the process of reconciliation kicked off when Prime Minister Vladimir Putin visited Poland last September to take part in the memorial events marking the beginning of World War Two.
WARSAW, June 20 (RIA Novosti)