A bending system comprising: a tool storage placed in a vicinity of a press brake and including a plurality of stockers (58, 64) extending in a left-right direction so as to be able to retain a plurality of tools (12, 14); a first tool exchange unit (70, 88) and a second tool exchange unit (70, 88) each disposed on a back side or a front side of a table (26, 24) of the press brake so as to be movable in the left-right direction and configured to exchange a tool (12, 14) with respect to a tool holder (30, 40) of the press brake and a stocker (58, 64) selected from among the plurality of stockers (58, 64); a left-right moving unit (82, 102) configured to move the first tool exchange unit (70, 88) and the second tool exchange unit (70, 88) in the left-right direction, respectively; and a control unit configured to control the first tool exchange unit (70, 88), the second tool exchange unit (70, 88), and the left-right moving unit (82, 102), wherein the first tool exchange unit (70, 88) includes a first tool retention member (78, 98) engageable-with and disengageable-from an engagement hole (12h, 14h) of a tool (12, 14), the first tool retention member (78, 98) being able to retain the tool (12, 14) and configured to move in the left-right direction together with the first tool exchange unit (70, 88), and the second tool exchange unit (70, 88) includes a second tool retention member (78, 98) engageable-with and disengageable-from an engagement hole (12h, 14h) of a tool (12, 14), the second tool retention member (78, 98) being able to retain the tool (12, 14) and configured to move in the left-right direction together with the second tool exchange unit (70, 88), characterized in that the control unit, when a first tool (12, 14) to be exchanged is in contact with an adjacent second tool not to be exchanged in the tool holder (30, 40) or the selected stocker (58, 64), controls the first tool exchange unit (70, 88), the second tool exchange unit (70, 88), and the left-right moving unit (82, 102) such that the first tool retention member (78, 98) retains the first tool (12, 14) in a state of being engaged in an engagement hole (12h, 14h) of the first tool (12, 14), and the second tool retention member (78, 98) retains the second tool in a state of being engaged in an engagement hole of the second tool, and the first tool exchange unit (70, 88) subsequently moves in the left-right direction in a state in which a movement of the second tool exchange unit (70, 88) in the left-right direction is stopped. a tool storage placed in a vicinity of a press brake and including a plurality of stockers (58, 64) extending in a left-right direction so as to be able to retain a plurality of tools (12, 14); a first tool exchange unit (70, 88) and a second tool exchange unit (70, 88) each disposed on a back side or a front side of a table (26, 24) of the press brake so as to be movable in the left-right direction and configured to exchange a tool (12, 14) with respect to a tool holder (30, 40) of the press brake and a stocker (58, 64) selected from among the plurality of stockers (58, 64); a left-right moving unit (82, 102) configured to move the first tool exchange unit (70, 88) and the second tool exchange unit (70, 88) in the left-right direction, respectively; and a control unit configured to control the first tool exchange unit (70, 88), the second tool exchange unit (70, 88), and the left-right moving unit (82, 102), wherein the first tool exchange unit (70, 88) includes a first tool retention member (78, 98) engageable-with and disengageable-from an engagement hole (12h, 14h) of a tool (12, 14), the first tool retention member (78, 98) being able to retain the tool (12, 14) and configured to move in the left-right direction together with the first tool exchange unit (70, 88), and the second tool exchange unit (70, 88) includes a second tool retention member (78, 98) engageable-with and disengageable-from an engagement hole (12h, 14h) of a tool (12, 14), the second tool retention member (78, 98) being able to retain the tool (12, 14) and configured to move in the left-right direction together with the second tool exchange unit (70, 88), characterized in that the control unit, when a first tool (12, 14) to be exchanged is in contact with an adjacent second tool not to be exchanged in the tool holder (30, 40) or the selected stocker (58, 64), controls the first tool exchange unit (70, 88), the second tool exchange unit (70, 88), and the left-right moving unit (82, 102) such that the first tool retention member (78, 98) retains the first tool (12, 14) in a state of being engaged in an engagement hole (12h, 14h) of the first tool (12, 14), and the second tool retention member (78, 98) retains the second tool in a state of being engaged in an engagement hole of the second tool, and the first tool exchange unit (70, 88) subsequently moves in the left-right direction in a state in which a movement of the second tool exchange unit (70, 88) in the left-right direction is stopped. the first tool retention member (78, 98) retains the first tool (12, 14) in a state of being engaged in an engagement hole (12h, 14h) of the first tool (12, 14), and the second tool retention member (78, 98) retains the second tool in a state of being engaged in an engagement hole of the second tool, and the first tool exchange unit (70, 88) subsequently moves in the left-right direction in a state in which a movement of the second tool exchange unit (70, 88) in the left-right direction is stopped.