Introduction: There are major differences when children with blindness perform construction tasks using haptics, without relying on sight, compared to when children with typical vision perform them through sight. When using sight, in all of the processes, the overall image can be grasped simultaneously while executing the task. When using haptics, the construction must be made by touching each piece sequentially and successively. In this study, framed block puzzle construction tasks that can be implemented by haptic means are developed with the objective of considering the order of difficulty of the task. Methods: In all, six framed block puzzle construction tasks were performed by 39 children with blindness, and the analysis was conducted from the perspective of the task-completion ratio. These six tasks were established on the basis of factors such as wood panel division and dimension, symmetry and asymmetry, and the number of block patterns. Results: A significant difference was observed in the completion ratio between one- and two-dimensional tasks, between two-dimensional symmetrical and asymmetrical tasks, and between two-dimensional asymmetrical tasks with multiple and single correct patterns. Discussion: This study clarified that the task order of difficulty is influenced by the factors of division and dimension, symmetry and asymmetry, and number of block patterns. Thus, we identified a task order wherein difficulty increases in the order of one- and two-dimensional symmetrical tasks and two-dimensional asymmetrical tasks with multiple and single correct patterns. Implications for Practitioners: Based on these hypotheses, providing instructions to children with blindness, in the order of simple to difficult tasks, is vital after ascertaining each child's level of capacity for spatial cognition.