The present invention discloses a non-irritating tea tree oil (TTO)-based topical therapeutic composition useful for both veterinary and human dermatology. The composition comprises a homogeneous mixture of TTO, 0.05 to 1.0% (wt/wt) at least one hypertonic composition providing the said TTO-based composition to 1700 to 2500 mOsm/L, 10 to 60% (wt/wt) and inorganic salts, 0.01% to 0.50% (wt/wt) and it is characterized by an effective, rapid & wide spectrum of action while being non-irritant to patient skin.