There can be three types of heterogeneity among players in a rent-seeking contest. First, effectiveness of player's effort on the winning probabilities may differ among players. Secondly, players may evaluate the rent or prize of the rent-seeking contest differently. Thirdly, players may face different financial constraints. This article proves under standard assumptions in the literature that there exists a unique pure-strategy Nash equilibrium in a general asymmetric rent-seeking contest with these three types of heterogeneity among players.