Myrrh has unique medicinal properties: it is an anti-inflammatory, antifungal, and antibacterial material. The aim of this study was to assess the influence of ethanolic myrrh extract on the production and properties of modified PP and PLA melt spun yarns. In this work, multifilament yarns of polylactide (PLA) and polypropylene (PP) containing 10 wt% myrrh resin at different melt-spinning drawing ratios (DRs) were prepared. The results of scanning electron microscopy revealed that the multifilament yarns from polymers covered by myrrh resin extract had a smooth surface without cracks or visible myrrh derivatives. The influence of myrrh resin on the mechanical properties of PP and PLA multifilament yarns was analyzed, and it was found that the presence of myrrh (PP/M, PLA/M) increased tenacity (cN/tex) and decreased the tensile strain (%) of melt spun yarns obtained at different draw ratios (DRs). During optical analysis, it was found that the absorbance of yarns increased in the entire UV region of the spectra, which was most likely determined by the presence of myrrh. The degree of crystallinity and the wetting angle of PP/M and PLA/M multifilament yarns increased compared with the pure PLA and PP multifilament yarns. This study concludes that the presence of myrrh derivatives influences PLA yarns degradation rate and antibacterial effects against Gram-positive bacteria.