The object of the present invention is a method of awarding prizes, also known as progressive jackpots, in association with a wagering game such as a Poker game. A particular application of this method is in association with a Poker game on an electronic gaming device. For awarding the progressive jackpot, players must accumulate in a counter a number of point corresponding exactly to one of the predetermined criteria. To obtain points, players have only to play the Poker game as on any other Poker machine. The points are added in the counter along with the winning outcomes in the game. A particular embodiment consists of awarding two kinds of points: win points and no-win points. With this embodiment, only win points are effective to win the progressive jackpot. The no-win points increase the counter values but can not lead to winning the jackpot.