Hydrofluoroolefins and hydrochlorofluoroolefins contaminated with acid and/or iron compounds are purified and stabilized by contacting the haloolefin with a solid adsorbent such as alumina and then combining the purified haloolefin with one or more stabilizers such as an epoxide. The purified, stabilized haloolefins thus obtained are useful in a wide variety of end-use applications, including, for example, as refrigerants, propellants, foaming agents, fire suppression or extinguishing agents, and solvents.