A simple and reliable technique is proposed for predicting the cartesian components of a general-displacement field from the usual double-exposure holographic fringes. An overdetermined set of simultaneous equations is developed at each point of interest and a least-squares solution provides the three displacement components. The reliability of this technique was tested by varying the degree of overdeterminacy of the set of equations. The three-dimensional displacement field of a beam under pure bending was determined holographically and compared with that from a closed-form theoretical solution. Finally, a highly skewed marine-propeller-blade model under uniform air pressure was analyzed holographically and the results were correlated with those from a finite-element analysis.