Single crystals of (NH4)3HfF7 were grown. Polarising optical observations as well as measurement of the heat capacity and birefringence n(Т) were performed in the temperature range of 200-310 K. Reversible phase transitions at temperatures T0 = 290 K, Т1 = 280.5 K, Т2≈ 273 K, Т3 = 266 K, Т4 = 259 K, Т5 = 231 K, Т6 = 229 K were found. Observations in polarised light make it possible to suggest a sequence of changes in the symmetry groups for these transitions: m Fm3 Т0→ cub. Т1→ mmm (1) Т2→ mmm (2) Т3→ mmm (3) Т5→ 2/c. The T-p phase diagram was studied and the temperature boundaries of the stability of the distorted crystalline phases were determined. A significant change of the entropy at successive phase transitions ΣΔS = 10.6 J/mol•K indicates a disordering of the initial cubic phase.