Technologies for providing dynamic selection of edge and local accelerator resources includes a device having circuitry to identify a function of an application to be accelerated, determine one or more properties of an accelerator resource available at the edge of a network where the device is located, and determine one or more properties of an accelerator resource available in the device. Additionally, the circuitry is to determine a set of acceleration selection factors associated with the function, wherein the acceleration factors are indicative of one or more objectives to be satisfied in the acceleration of the function. Further, the circuitry is to select, as a function of the one or more properties of the accelerator resource available at the edge, the one or more properties of the accelerator resource available in the device, and the acceleration selection factors, one or more of the accelerator resources to accelerate the function.