A cold-storage heat exchanger, comprising: a first header tank and a second header tank provided parallel to each other at positions spaced apart from each other by a predetermined distance, each of the first and second header (100, 200) tanks having therein partitions extending in a longitudinal direction so that a space in each of the first and second header tanks (100,200) is partitioned with respect to a lateral direction into three spaces comprising a first space, a second space and a third space; a plurality of tubes arranged in three rows with respect to the lateral direction, the tubes comprising: refrigerant tubes (410,430) through which refrigerant circulates, each of the refrigerant tubes being connected at opposite ends thereof to the first spaces of a first row or the third spaces of a third row; and a cold-storage tubes connected at opposite ends thereof to the second spaces of a second row, the cold-storage tubes storing a cold-storage medium therein; and fins interposed between the tubes; characterised by an inlet pipe and an outlet pipe each being connected to the first space or the third space of the first or second header tank (100,200) so that the refrigerant flows into the cold-storage heat exchanger through the inlet pipe and flows out therefrom through the outlet pipe, wherein a refrigerant passing hole is formed in a predetermined portion of each of laterally-opposite sidewalls of the second space of at least either the first header tank or the second header tank so that the first space communicates with the third space to allow the refrigerant to flow between the first space and the third space; and the cold-storage heat exchanger further comprises partitioning means for isolating the refrigerant flowing between the first space and the third space from the heat storage medium stored in the cold-storage tubes. a first header tank and a second header tank provided parallel to each other at positions spaced apart from each other by a predetermined distance, each of the first and second header (100, 200) tanks having therein partitions extending in a longitudinal direction so that a space in each of the first and second header tanks (100,200) is partitioned with respect to a lateral direction into three spaces comprising a first space, a second space and a third space; a plurality of tubes arranged in three rows with respect to the lateral direction, the tubes comprising: refrigerant tubes (410,430) through which refrigerant circulates, each of the refrigerant tubes being connected at opposite ends thereof to the first spaces of a first row or the third spaces of a third row; and a cold-storage tubes connected at opposite ends thereof to the second spaces of a second row, the cold-storage tubes storing a cold-storage medium therein; and fins interposed between the tubes; characterised by an inlet pipe and an outlet pipe each being connected to the first space or the third space of the first or second header tank (100,200) so that the refrigerant flows into the cold-storage heat exchanger through the inlet pipe and flows out therefrom through the outlet pipe, wherein a refrigerant passing hole is formed in a predetermined portion of each of laterally-opposite sidewalls of the second space of at least either the first header tank or the second header tank so that the first space communicates with the third space to allow the refrigerant to flow between the first space and the third space; and the cold-storage heat exchanger further comprises partitioning means for isolating the refrigerant flowing between the first space and the third space from the heat storage medium stored in the cold-storage tubes.