In this paper, we attempted to measure and compare the core inflation through utilizing the trimmed mean and omission methods for the period of (1978-2012). Using the core inflation as targeted inflation in monetary policy will increase its efficiency, because the core inflation could separate the sustained inflation from the temporary one. The results of this research prima facie indicate that the most appropriate method for measuring the core inflation in Iranian economy is Trimmed Mean method. (it is 80% of median value). We can also, measure the core inflation through omission method, if we exclude certain items i.e. food, tobacco and education from our calculations. On the other hand, we have found that there is a long term relation between foreign exchange rate and core inflation, and also in measuring the core inflation, we cannot omit those groups of goods and services which are more prone to impact of exchange rate and are already included in calculation of consumer price index, because Iran is importer of intermediate goods, and foreign exchange rate will affect on price of manufacturing goods. Thus, we conclude that the exchange rate and housing prices are both permanent components of core inflation measurement and as a result should not be omitted from consumer price index, pro rata.