Acting Polish president Bronislaw Komorowski received 51.32 percent of the vote after 80.39 percent of ballot papers casted in Sunday's presidential elections in Poland were counted on Monday.
His main opponent Jaroslaw Kaczynski, the late Polish president Lech Kaczynski's brother, is some 2.6 percent behind, with 48.68 percent of the vote.
National Election Commission chairman Stefan Jaworski said the turnout stood at 54.18 percent.
The first round of early elections, forced by President Kaczynski's death in the April air crash in western Russia, was held on June 20. It was narrowly won by Komorowski (41.54%), a pro-EU, moderate member of the governing Civic Platform party.
Polish pollster TNS OBOP said earlier exit polls from presidential runoff showed a lead for Komorowski with 53.1% after surveying voters, while 46.9% was for Kaczynski.