An information processing apparatus which can reduce the trouble of operation since a user does not have to irregularly operate a reconnection operation.A printing device 100 as the information processing apparatus includes a DHCP server function and distributes different IP addresses to external devices respectively. If a number of external devices connected to the printing device 100 in the IP layer level has reached a first connection number, when an IP address distribution request is sent from a first external device after a connection to the first external device in the wireless link layer level is established, an IP address is not controlled to be distributed to the first external device. If not, the IP address is controlled to be distributed to the first external device so that the connection to the first external device in the IP layer level becomes available.