A wireless access point search device comprising: a CPU configured to perform a search for an access point; a Random Access Memory, RAM, configured to store an information item related to an access point found by the search performed by the CPU into a search area, and to store the information item related to the access point stored in the search area into a result area; and a display section configured to display a result of the search for the access point characterized in that the wireless access point search device further comprises an overflow determining section configured to determine whether or not the sum of the number of access point data items stored as access point search results in the search area and the number of access point data items stored as preceding search results in the result area, is larger than a maximum number of access point data items that can be stored in the result area, wherein, in a case when it is determined that the sum is larger than the maximum number of access point data items that can be stored in the result area, a replacement section is configured to perform determination as to which of an access point data item stored at the bottom of the result area and an access point data item stored in the search area has a higher radio field intensity, whereby, if it is determined that the access point data item stored in the search area has a higher radio field intensity than the access point data item stored at the bottom of the result area, the replacement section is configured to replace the access point data item stored at the bottom of the result area with the access point data item stored in the search area, else, if it is determined that the access point data item stored at the bottom of the result area has a higher radio field intensity than the access point data item stored in the search area, the replacement section is configured not to perform replacement between the access point data item stored at the bottom of the result area and the access point data item stored in the search area. a CPU configured to perform a search for an access point; a Random Access Memory, RAM, configured to store an information item related to an access point found by the search performed by the CPU into a search area, and to store the information item related to the access point stored in the search area into a result area; and a display section configured to display a result of the search for the access point characterized in that the wireless access point search device further comprises an overflow determining section configured to determine whether or not the sum of the number of access point data items stored as access point search results in the search area and the number of access point data items stored as preceding search results in the result area, is larger than a maximum number of access point data items that can be stored in the result area, wherein, in a case when it is determined that the sum is larger than the maximum number of access point data items that can be stored in the result area, a replacement section is configured to perform determination as to which of an access point data item stored at the bottom of the result area and an access point data item stored in the search area has a higher radio field intensity, whereby, if it is determined that the access point data item stored in the search area has a higher radio field intensity than the access point data item stored at the bottom of the result area, the replacement section is configured to replace the access point data item stored at the bottom of the result area with the access point data item stored in the search area, else, if it is determined that the access point data item stored at the bottom of the result area has a higher radio field intensity than the access point data item stored in the search area, the replacement section is configured not to perform replacement between the access point data item stored at the bottom of the result area and the access point data item stored in the search area.