PURPOSE: Provided is a coin wrapping machine which can reliably sort newly issued coins and past issued circulating old coins of the same denomination from each other, efficiently collect old coins without any special mechanism while counting the newly issued coins and the old coins and, at the same time, wrap the newly issued coins to produce a wrapped coin roll. CONSTITUTION: The coin wrapping machine comprises: an operation mode selecting means for selecting a counting mode for counting coins or a wrapping mode for wrapping coins; a denomination specifying means for specifying a denomination of coins to be handled, a rotatable disk for feeding coins one by one to a coin passage; a first coin sensor provided in the coin passage for detecting physical properties of coins; a second coin sensor provided in the coin passage downstream of the first coin sensor for detecting physical properties of coins different from those to be detected by the first coin sensor; a first coin sorting and collecting means provided in the coin passage downstream of the second coin sensor for sorting coins and collecting sorted coins; a second coin sorting and collecting means provided in the coin passage downstream of the second coin sensor for sorting coins and collecting sorted coins; a third coin sorting and collecting means provided in the coin passage downstream of the second coin sensor for sorting coins and collecting sorted coins; a discriminating means for discriminating, based on the physical properties detected by the first coin sensor and the second coin sensor, whether or not a coin is acceptable, the denomination of the coin when it is acceptable and whether or not the denomination of the coin coincides with that specified by the denomination specifying means; and a coin stacking and wrapping apparatus connected to a downstream end portion of the coin passage for stacking and wrapping coins.