An information transmission method implemented in a wireless access point in a Wi-Fi local area network, comprising: receiving a message sent from a source terminal device, the message comprising a data message and a target terminal device identification; determining whether the target terminal device identification exists in a transmission list, the transmission list comprising identifications of all terminal devices that have responded to a probe message broadcasted by the current access point device, and the current access point device being an access point device corresponding to the source terminal device; and sending the data message to the target terminal device directly, and not to a server, wherein the server is configured to send information to the terminal device of the receiving end via the network device according to the receiving end address, the target terminal device identification exists in the transmission list, before determining whether the target terminal device identification exists in the transmission list, the method further comprises: broadcasting a probe message; receiving first response messages respectively returned by all of the terminal devices accessing the current access point device according to the probe message, the first response messages carrying identifications of the corresponding terminal devices; and respectively acquiring terminal device identifications carried by all of the first response messages, and adding all of the terminal device identifications to the transmission list. receiving a message sent from a source terminal device, the message comprising a data message and a target terminal device identification; determining whether the target terminal device identification exists in a transmission list, the transmission list comprising identifications of all terminal devices that have responded to a probe message broadcasted by the current access point device, and the current access point device being an access point device corresponding to the source terminal device; and sending the data message to the target terminal device directly, and not to a server, wherein the server is configured to send information to the terminal device of the receiving end via the network device according to the receiving end address, the target terminal device identification exists in the transmission list, before determining whether the target terminal device identification exists in the transmission list, the method further comprises: broadcasting a probe message; receiving first response messages respectively returned by all of the terminal devices accessing the current access point device according to the probe message, the first response messages carrying identifications of the corresponding terminal devices; and respectively acquiring terminal device identifications carried by all of the first response messages, and adding all of the terminal device identifications to the transmission list. broadcasting a probe message; receiving first response messages respectively returned by all of the terminal devices accessing the current access point device according to the probe message, the first response messages carrying identifications of the corresponding terminal devices; and respectively acquiring terminal device identifications carried by all of the first response messages, and adding all of the terminal device identifications to the transmission list.