Many researchers have shown that capital markets in CEE countries are weakly efficient in terms of calendar anomalies. The goal of this paper is to investigate whether the capital market in Montenegro is efficient regarding some of these anomalies. The main characteristics of the Montenegrin capital market are briefly explained. The empirical analysis is done on the daily values data of stock market index NEX20. An investigation of the January effect is implemented with the graphical representation of the rate of return for all the months of the seven-year period and by estimation of a regression model of return on index NEX20. The intercept represents the value of the return in January and it is insignificant. The holiday effect, tested by graphical representation for the Statehood Day data, was not present in the whole period. To investigate the turn-of-the-month effect we employed the graphical representation and regression model of the return rate on index NEX20 for the last week of every month and for the rest of the month. The value of the intercept, representing return for the last week of the month, is significant. The absence of some tested calendar anomalies suggests that the Montenegrin capital market is becoming more efficient.