With the growing competitive pressure from market participants, utilities, consumer and government, analyses of existing competitive electricity market become more important. The presence of congestion in the transmission system can significantly increase the potential of exercising market power. Since the congestion in the network depends on the several factors, the market power cannot be simply analyzed through the existing indices. This paper presents a systematic analysis on local market power under uniform pricing scheme and provides determining approach of the level of price cap as mitigation measure of the strategic market power.