A print system which are capable of inhibiting simultaneous use of the encrypted print and the box storage to thereby increase the security of print data. A host computer has an encryption function of encrypting print data, and issues a print job for the print data encrypted by the encryption function. A print server receives the issued print job, and has a decryption function of decrypting the encrypted print data of the received print job. A printer has a storage function of storing the print data decrypted by the decryption function, and outputs the stored print data. At least one of the host computer and the print server inhibits simultaneous use of the encryption function and the storage function.