The invention relates to an array coil system of an azimuthal electromagnetic wave resistivity logging instrument while drilling, wherein the array coil system (2) is wound in a corresponding hole or groove in a coil carrier (1) and comprises a plurality of groups of transmitting coils and a plurality of groups of receiving coils; the transmitting coils are symmetrically distributed longitudinal coils of different spacing; and the receiving coils are symmetrically distributed on the two sides of the center of the array coil system (2) and comprise longitudinal coils with coil system magnetic dipole direction coaxial with the instrument and transverse coils with coil system magnetic dipole direction vertical with the instrument. According to the array coil system, the characteristics of stratum azimuth, dip, resistivity and anisotropy can be achieved, and information such as stratum structure change and distance from a wellbore to the boundary of a reservoir stratum can also be achieved; and the array coil system has an important effect on accurate geological guidance and reservoir stratum evaluation in a well drilling process. The array coil system is suitable for the technical field of logging in oil and gas exploration.