When wounds are caused by burns, traumatic injuries, chronic ulcers, or diabetic injuries, bacterial infection can be a major problem. It can even be life-threatening. The wound-healing process is slowed by multidrug-resistant microorganisms, so antimicrobial wound dressings are generally used. Nanostructures comprise nanoparticles, nanorods, nanospheres, nanoshells, nanoflowers, hybrid polymers, etc., which can be used for wound healing or can be used to deliver the drug at the site of the wound to improve the drug’s efficacy and stability. In this review, we shall discuss the different therapeutic strategies of nanoparticle-based wound dressing materials with or without the incorporation of natural products. The recent research on nanostructure-based wound dressing materials will also be discussed.