The village was first mentioned in a Latin document of Diocese of Wrocław called Liber fundationis episcopatus Vratislaviensis from around 1305 as Cunczindof Pasconis. It belonged then to the Duchy of Teschen, formed in 1290.
There is a wooden Saint Michael the Archangel church built in 1777 in the village and a palace built by Jerzy Fryderyk Wilczek at the end of the 17th century. Last owner of the palace was countess Gabriela von Thun-Hohenstein. She was known in the region for her philanthropic activities, she helped poor children, worked in the Red Cross and in 1910 funded construction of a pavilion of Silesian Hospital in Cieszyn. She was then awarded an honorary citizen of that town. In 1945 Soviet troops entered the palace and devastated it. Aristocratic family was expropriated of their property and orphanage was set there. After the fall of communism in Poland, there were problems with the property laws for the palace. It has been finally sold in 2007 to businessmen who declared they would like to set up a hotel there.
In the years 2004 and 2005 in the village the oldest traces of Homo erectus in Poland were found, dated 800 000 years old.
700 lat Hażlacha i Kończyc Wielkich. Hażlach, Kończyce Wielkie: Gmina Hażlach. 2005. ISBN83-922804-0-7.
Cicha, Irena; Kazimierz Jaworski, Bronisław Ondraszek, Barbara Stalmach and Jan Stalmach (2000). Olza od pramene po ujście. Český Těšín: Region Silesia. ISBN80-238-6081-X.Cite uses deprecated parameters (help)