Curcumin (Cur) was added to the ring-shaped β-cyclodextrin (CD) to form a β-CD–Cur inclusion complex (CD-Cur). CD-Cur was then integrated into a composite chitosan–alginate (CA) mix. Finally, CA-CD-Cur was generated with a freeze-drying technique. Water-uptake capacity, degradation rate, and drug-release kinetics of the newly formed dressing were investigated in vitro. In animal studies, cutaneous wounds in rats were created, treated with CA-CD-Cur, then compared to CA-Cur, CA, and gauze.