Galaxy clusters are the best laboratory for studying galaxy evolution and cosmology. However, there are not so many galaxy clusters have been detected in the AKARI NEP field. This work provides the detection of galaxy clusters in the AKARI NEP field mainly using HSC 5-band photometry. We calculated the local density around every galaxy using the 10th-nearest neighborhood. The friends-of-friends algorithm is applied to over-densities to determine cluster candidates. Our method based on only the coordinates and redshift allows us to select as many as cluster candidates possible with the minimum requisites or assumptions. As the result, a catalogue and images of cluster candidates are provided. 112 cluster candidates are identified below redshift 1.2 in 5.4 square degree, and there are 5721 member galaxies in among them. 4 cluster candidates have been detected in X-ray by ROSAT and/or Chandra. We studied color properties of the cluster galaxies, for example, the red galaxy fraction as the function of redshift. The analyses of completeness and false detection have been performed to test the reliability of our cluster finding algorithm.