A matrix of 27 acid-thinned (AT) potato starch (PS) samples is prepared in a laboratory scale in slurry by gradation of the process parameters temperature (30, 40, and 50°C), acid concentration (0.3, 0.6, and 0.9 m HCl) and time (4, 10, and 20 h), and is investigated in terms of functional properties (range of molar mass [M w ] between 17.7 × 10 6 and 1.95 × 10 4 g mol −1 ). The solubility (S) increased basically with a higher degree of molecular degradation and disintegration temperature, and the viscosity decreased systematically with decreasing M w and increasing disintegration temperature. The existence of a specific M w range of the starch to achieve highest gel strength is proved. However, an impact of the molecular properties on the light transmittance (T gel ) can be excluded, since all starch gels are opaque. A correlation between the strength and the specific non-freezable bound water content (w nf ) of the gels is found. High gel strength is accompanied by comparatively low w nf . In particular, the viscosity (processing) and the gel strength (final product characteristic), which are important technofunctional properties for the industrial application of AT starches, are found to be directly correlated to the M w of the starch product. Moreover, the latter is controllable by the hydrolysis process parameters.