Steel-reinforced grout (SRG) is a type of composite used for structural strengthening applications. SRG is comprised of high-strength steel cords embedded in an inorganic matrix. In this paper, the results of an experimental study carried out to understand the compressive behavior of masonry columns confined by multi-layer SRG jackets are presented. Twenty-four confined and seven unconfined solid fired-clay brick masonry columns with a square cross-section were tested to failure under a concentric compressive load. Test parameters included the column corner condition, number of fiber sheet layers, and number of column faces the fiber sheets were overlapped (in the wrap direction), referred to herein as the number of fiber overlapping faces. SRG confinement was found to improve the compressive strength, ultimate axial strain, and energy absorption of the masonry columns. Results showed that the confined compressive strength, ultimate strain, and absorbed energy increased with the number of fiber sheet layers, however the increase in confined strength was not proportional to the number of fiber sheet layers. Rounding the column corners slightly increased the confined compressive strength. Increasing the number of fiber overlapping faces also increased the confined compressive strength, ultimate strain, and absorbed energy.