A filter for collecting fine particles in exhaust gas is equipped with: a multitude of cells bordering on each other and allowing exhaust gas to flow therethrough; cell partitions separating these multitude of cells from each other and having a multitude of pores through which the multitude of cells communicate with each other; and stop sections provided in the end portions of the multitude of cells so as to cause the exhaust gas introduced into each of the cells at one end thereof to flow into the adjacent cells through the pores of the cell partitions and be discharged at the other end of the cell. These stop sections are so arranged that the amount of exhaust gas entering the cells at the central region of one of the end portions is smaller than that at the peripheral region of the same. With this construction, the amount of fine particles accumulated in the peripheral filter region is relatively large, and that in the central filter region is relatively small. Thus, an increase in temperature occurs in the peripheral filter region, whereas it is suppressed in the central filter region, so that the difference in temperature between the two regions is kept at a low level, thereby effectively protecting the filter from damage.