The use of solid-state electrolytes (SSEs) instead of liquid organic electrolytes presents one of the important means to increase the energy density and resolve the protection issues of lithium batteries. The development of SSEs compounds, which can suit high-voltage cathodes and lithium metal anode (LMA) is rather important to progress high-energy–density lithium batteries. Among the different compounds, lithium aluminum titanium phosphates (LATP) are especially potential candidates for all-solid-state batteries (ASSBs) since their present high ionic conductivity, superior air stability, and low cost. In this paper, the Li1+xAlxTi2−x(PO4)3 (LATP) compounds with different mixtures have been synthesized via solid-state technique. The rhombohedral phase (space group R 3 ¯ c ) of these samples is confirmed through the powder X-ray diffraction measurements. The thermogravimetric (TG) measurements show that when x-content increments in LATP, the integral temperature of decomposition reduces. Likewise, the temperature whereupon the samples turn stable decreases, which suggested that phase stability is related by the rise of the x-content in the basic sample. Through the 101–106 Hz frequency area, the real and imaginary parts of the dielectric permittivity, the electric modulus, and alternating current (AC) conductivity of LATP samples display temperature reliance. The different contributions of grains and grain boundaries to the total impedance are confirmed by the Nyquist curves. The alternating current (AC) conductivity is illustrated in terms of Jonncher's power law. The studies on charge transportation suggest the presence of the overlapping large polaron tunneling mechanism (LATP − x = 0.0) and the non-overlapping small polaron tunneling mechanism (LATP − x = 0.3 and LATP − x = 0.5). [ABSTRACT FROM AUTHOR]