Least disruptive icon displacement techniques are described herein which enable rearrangement of icons by selectively applying multiple different displacement strategies for handling of displacement events (e.g., moving or adding icons). In one or more implementations, initiation of a displacement event to position an icon within an arrangement of icons is detected. Responsive to the detection, multiple available displacement strategies implemented by the computing platform are evaluated and a displacement strategy for rearrangement of the arrangement to position the icon is selected. Selection of the displacement strategy is based on an assessment of a level of disruption caused by the different displacement strategies to identify a least disruptive option. Then, rearrangement of the arrangement of icons is controlled using the displacement strategy that is selected.