Leeds United are ahead of high-flying Leicester City in their search for back-to-back Championship victories.
Neil Warnock's side were ahead after just three minutes when the referee pointed to the spot following Jeff Schlupp's foul on Sam Byram.
Lucciano Becchio made no mistake with the penalty for his 13th goal of the season.
Leicester struggled to gain possession in the early stages but forced Paddy Kenny to make a save when Richie De Laet shot from an acute angle.
Kasper Schmeichel kept Leicester in the match just before the break when he turned away a stinging drive from Paul Green.