The present volume is the proceedings of the meeting 'Development of Moduli theory' which was held as the Seasonal Institute 2013 (The 6th MSJ-SI), the Mathematical Society of Japan and the 2013 Research Project of Research Institute of Mathematical Science, Kyoto University.This volume is dedicated to Professor Shigeru Mukai on the occasion of his sixtieth birthday.The volume consists of five survey articles and eight research articles given by the authors: I Dolgachev, E Looijenga, N Mestrano, C Simpson, H Nakajima, I Nakamura, V Alexeev, M Aprodu, G Farkas, A Ortega, I Ciocan-Fontanine, B Kim, B Hassett, A Kresch, Y Tschinkel, D Huybrechts, J H Keum, V Nikulin, K Yoshioka.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America