The toxins generated by waste dyes from several industrial sectors in water bodies are hard to evacuate by ordinary water treatment procedures. This study discusses the effect of silver nanoparticles (AgNPs) biosynthesized by Pseudomonas aeruginosa on the degradation of some hazardous dyes such as Bromothymol blue and Fantacell dye. The catalytic properties of the Sodium Alginate/Poly Acrylamide silver nanoparticles, (Na-Alg/Poly-AAm) Ag NPs, were compared to the raw (Na-Alg/Poly-AAm) polymer, of different Acrylamide percentages. The bioproduced AgNPs were of concentration 0.3 mg/100 ml embedded in Na-Alg/Poly-AAm with percentages (50/50, 60/40, 70/30, 80/20, 90/10, and 100%) for polyacrylamide and sodium alginate, respectively. The polymers were polymerized by 3Mega gamma rays. AgNPs were characterized by Dynamic Light Scattering (DLS), Transmission Electron Microscope (TEM) and The X-ray diffraction (XRD) spectroscopy. The study showed that the AgNPs size ranged from 24 to 58 nm. These polymers embedded by AgNPs are considered an excellent catalyst for the reduction of hazardous dyes. This fact is confirmed by a decrease in dyes absorbance revealed by UV-Vis spectroscopy. The maximum reduction percentage for Fantacell dye was 87%, detected at 45 minutes, and the maximum reduction percentage of Bromothymol blue was 87%, detected at 150 min.