Silver nanoparticles possess valuable physical, chemical, and biological properties, rendering them widely applied as bioactive agents in the industry. Nonetheless, their influence on the natural environment and on living organisms remains unclear. Therefore, this study aims to investigate the impact of polymer composites containing silver nanoparticles on sperm cells. The nanosilver polymer composites were chemically synthesized, employing sodium alginate as the stabilizer. The reducing agents employed were solutions comprising sodium borohydride and xylose. The concentration of silver nanoparticles obtained after synthesis was 100 parts per million. The examined biological species were rabbit sperm cells. The impact of nanosilver on the sperm was assessed through the elucidation of the toxicity profile, comet test, and analysis of morphological characteristics of the animal cells. The results of the study demonstrate a twofold impact of polymer composites infused with silver nanoparticles on domestic rabbit sperm when obtained through chemical synthesis using two reducing agents (xylose and sodium borohydride) at a 10 ppm concentration. The comet test showed no harmful effect on the DNA integrity of rabbit sperm by the tested compounds. Twenty-four-hour exposure of rabbit spermatozoa to silver nanoparticles, obtained by reducing xylose and borohydride, induced significant secondary changes in the morphological structure of male reproductive cells. These findings indicate the potential reproductive toxicity of silver nanoparticles.