A print system comprising a printing apparatus, a first sheet processing apparatus connected to the printing apparatus, and a second sheet processing apparatus connected to the first sheet processing apparatus, wherein the printing apparatus having a print unit that executes a print process of data of a job stored in a storage unit which can store data of a plurality of jobs, wherein the first sheet processing apparatus has a first sheet processing unit that is capable of executing a first specific type of sheet processing of sheets of a job printed by the printing apparatus, wherein the second sheet processing apparatus has a second sheet processing unit that is capable of executing a second specific type of sheet processing of sheets of a job received from the first sheet processing apparatus, and wherein the print system is configured to convey sheets from the printing apparatus to the second sheet processing apparatus via the first sheet processing apparatus in order to execute the second specific type of sheet processing by the second sheet processing apparatus, characterized in that the print system further comprises: a controller unit that allows the print unit to execute a print process of data of a second job accepted after a first job, wherein, if the first job is a job requiring the second specific type of sheet processing by the second sheet processing apparatus after a print process of data of the first job by the print unit, and the second job is a job requiring the first specific type of sheet processing by the first sheet processing apparatus after a print process of data of the second job by the print unit, the controller unit is configured to permit the print unit to execute the print process necessary for the second job during execution of the second specific type of sheet processing necessary for the first job, and if the first job is a job requiring the first specific type of sheet processing by the first sheet processing apparatus after the print process of data of the first job by the print unit, and the second job is a job requiring the second specific type of sheet processing by the second sheet processing apparatus after the print process of data of the second job by the print unit, the controller unit is configured to inhibit the print unit from executing the print process necessary for the second job during execution of the sheet process necessary for the first job. a controller unit that allows the print unit to execute a print process of data of a second job accepted after a first job, wherein, if the first job is a job requiring the second specific type of sheet processing by the second sheet processing apparatus after a print process of data of the first job by the print unit, and the second job is a job requiring the first specific type of sheet processing by the first sheet processing apparatus after a print process of data of the second job by the print unit, the controller unit is configured to permit the print unit to execute the print process necessary for the second job during execution of the second specific type of sheet processing necessary for the first job, and if the first job is a job requiring the first specific type of sheet processing by the first sheet processing apparatus after the print process of data of the first job by the print unit, and the second job is a job requiring the second specific type of sheet processing by the second sheet processing apparatus after the print process of data of the second job by the print unit, the controller unit is configured to inhibit the print unit from executing the print process necessary for the second job during execution of the sheet process necessary for the first job.