The invention relates to an array induction logging coil system for measuring the formation resistivity. The coil system consists of a transmitting coil and 7 sets of double-receiving coils which consist of a plurality of screening coils and a plurality of main receiving coils, wherein the transmitting coil and each set of the double-receiving coils form a sub array, all 15 coils are wound on a non-conductive frame, the screening coils are connected with the main receiving coils in series, however, the winding directions of the screening coils and the main receiving coils are opposite, the set of the position of the main receiving coils considers the radial investigation depth, the lengthways resolution ratio and the signal focusing and synthesizing treatment requirement, the screening coils are arranged between the transmitting coil and the main receiving coils, the position and the number of the screening coils meet the condition of offsetting direct coupled signals, change the radial investigation depth and the lengthways resolution ratio, and meet the condition that the signal to noise ratio is 2-4; the other screening coils except the first sub array coil in the 7 sub array coils are overlapped with the center positions of the main receiving coils of the former sub array; and the investigation range of the resistivity is wide, so that the coil system can measure the formation resistivity more accurately.