A communication system providing wireless communication among wireless users through a number of cellular base stations. The system includes a connecting station with a millimeter wave wireless transceiver in communication with a fiber optic or high-speed cable communication network. The transceiver is adapted to communicate at millimeter wave frequencies higher than 60 GHz with another millimeter wave transceiver at one of the cellular base stations. Each of the base stations serves a separate communication cell. Each base station is equipped with a low frequency wireless transceiver for communicating with the wireless users within the cell at a radio frequency lower than 6 GHz and a millimeter wave wireless transceiver operating at a millimeter wave frequency higher than 60 GHz for communicating with another millimeter wave transceiver at another base stations or a millimeter wave transceiver at said at the connecting station. The base stations also are equipped with data transfer means for transferring data communicated through the low frequency transceiver to the millimeter wave wireless transceiver and for transferring data communicated through the millimeter wave wireless transceiver to the low frequency wireless transceiver. In preferred embodiments the system a part of a telephone system, an Internet system or a computer network.