In the match, held at the Estadio Municipal de Poznan, the goals were scored by Ali Gholizadeh in the 30th minute and Mikael Ishak with seven minutes remaining.
Lech Poznan sits third in the table with 53 points, two points adrift of leader Rakowa Częstochowa.
Korona Kielce remained 13th in the 18-team table.