We use a monthly dataset to analyze whether Islamic banks have greater market power compared with their conventional counterparts. Using a sample of Indonesian banks, we find that Islamic banks possess greater market power than conventional banks. This condition does not hold, however, when we compare state-owned Islamic and conventional banks. We also find some specific determinants of Islamic banks’ market power: the Ramadan holy month (positive impact), the proportion of profit-and-loss sharing in their financing (negative impact), and the presence of a Sharia board (positive impact). Interestingly, Ramadan benefits not only Islamic banks but also conventional banks. Our findings support prior literature emphasizing the role of religiosity in Islamic banks’ behavior.