Dynamic haptic retargeting can be implemented using world warping techniques and body warping techniques. World warping is applied to improve an alignment between a virtual object and a physical object, while body warping is applied to redirect a user's motion to increase a likelihood that a physical hand will reach the physical object at the same time a virtual representation of the hand reaches the virtual object. Threshold values and/or a combination of world warping a body warping can be used to mitigate negative impacts that may be caused by using either technique excessively or independently.