Minimum Constraint Design (MinCD) is a design approach for mechanical systems yielding to the required performance with a minimum number of external constraints at each one of the system’s components. The method is claimed to be appropriate for the design of mechanical systems, allowing for assembling with zero looseness and binding, zero distortion and no residual stress. Such designs can be implemented with simple machining, loose manufacturing tolerances and semiskilled labour for both assembling and disassembling. As a result, MinCD allows for cost decreasing in both design and manufacturing, and to a noteworthy increasing in reliability and maintainability. According to the 1st Axiom of Suh’s Axiomatic Design (AD), ideal designs are independent, that is, the mapping between design requirements and design parameters must be achieved in such a way that the variation of any specific design parameter affects one only design requirement. This paper shows through selected examples that Minimum Constraint Design is a particular case of AD’s 1st Axiom.