Abstract: The invention relates to the oil and gas production industry, in particular, to development and production of oil reservoirs with various permeability zones, specifically, with lateral/lateral horizontal holes, drilled from the production casing. The method described includes running into the well of a tubing string with a cable, control devices in form of electrical valves, measurement pressure and temperature sensors, and one or more packers for isolation of the downhole space, in which information from the sensors is passed to the measurement unit at the wellhead, and signals for opening/closing of the control devices are transferred from the wellhead control unit by the cable. A device for carrying out this method is also described.