Least spatial period is an important parameter for the design and fabrication of continuous phase plate (CPP). Based on the requirement of laser facility for inertial confinement fusion, a method of design and analysis for CPP with different least spatial periods is built up. The effects of least spatial period on the fabrication and performance of continuous phase plate have been studied. The results show that the removal function size is linearly correlated to the least spatial period, and the relationship between the removal and the square root of least spatial period is about linear, so the fabrication with larger least spatial period should be easier because the CPP has more medium-high frequency, but it has more material to be removed. Moreover, the beam shaping performance of CPP is rarely influenced by the least spatial period, the difference of capacity usage ratio caused by different CPP is smaller than 0.2%. But the uniformity of top focal spot caused by CPP becomes more excellent when the least spatial period is minimized, the nonuniformity of least spatial period CCP of 5 mm is 3.5% less than that of 15 mm. So the selected least spatial period should be minimized, while it can’t exceed the ability of the fabricating equipment.