It is well known [1] that the conventional phase sensitive non-coherent moving target indication [PSN-MTI] system is capable of canceling the moving clutter patch with the following drawbacks; the target plot will be tripled on the radar screen if the target exists within the clutter patch and will be doubled if the target exists at the leading or trailing edge of the clutter patch . So, of course, both the radar range resolution and the radar range measurement accuracy will be affected and become worse by a factor of 3 in the first case and by a factor of 2 in the second case, what is not desired in most modern radars. In this work, a PSN-MTI system is proposed. It cancels the moving clutter patch, but with doubled target plot width on the screen, not tripled, if target exists within clutter batch. And if the target is at the leading or trailing edge of the clutter patch, the target plot remains as the clutter-free case and not doubled as the conventional system. In such cases, the proposed system will improve both radar range resolution and range measurement accuracy .