There is shown a method of purifying glacial acetic acid containing terpene and terpenoid impurities. Substantially dry acetic acid containing terpene and terpenoid impurities is combined with water and a suitable organic solvent, which is substantially immiscible with acetic acid and water, to form a separating composite extraction medium having a weight ratio of acetic acid:water of at least 1:1. The components are separated into an organic phase and an aqueous acid phase, with the terpene and terpenoid impurities concentrated in the organic phase, and with the aqueous acid phase purified of terpene and terpenoid impurities. The purified aqueous acid phase is recovered, and the purified acetic acid is dried.