The productivity of automated container terminals is significantly affected by not only the speed related performances of automated transfer cranes(ATCs) but also the sizes of container blocks. In this paper, it is discussed how to determine the size of import container blocks considering both the container handling times of an ATC and their storage space. Firstly, evaluation models are suggested for the container handling times of an ATC in a typical import container blocks. Secondly, three mathematical formulations are suggested to determine the size of import container blocks. Numerical experiments for the suggested models to determine the size of import container block are provided.