Magnetic particle imaging (MPI) has been extensively studied for use in medical diagnosis. In this application, magnetic nanoparticles (MNPs) accumulated in human (or animal) body are detected by measuring the magnetic signal from the particles. We have been developing a narrow-band MPI system using third harmonic signal detection and field free line (FLL) of the gradient field. In the previous paper, we successfully demonstrated two dimensional MPI using this method [1]. However, it is necessary to extend the system to three dimensional MPI for practical use. For this purpose, we propose a method to use multiple pickup coils for signal detection.