We could also describe these as salts that contain the cation of a strong base and the anion of a strong acid.
Consider an aqueous solution of NaCl, which is the salt of the strong base NaOH and the strong acid HCl. Sodium chloride is ionic even in the solid state. It dissociates into hydrated ions in H2O. H2O ionizes slightly to produce equal concentrations of H+ (H3O+) and OH- ions.
We see that aqueous solutions of NaCl contain four ions, Na+, Cl-, H+ (H3O+) and OH-. The cation of the salt, Na+, is such a weak acid that it does not react appreciably with water. The anion of the salt, Cl-, is such a weak base that it does not react appreciably with water. Solutions of salts of strong bases and strong acids are therefore neutral because neither ion of such a salt reacts to upset the H+ (H3O+)/OH- balance in water.