Solid polymer electrolytes are one of the promising materials for solid-state supercapacitors. In this work, the solid polymer electrolytes PU-PFL100 were obtained based on polyurethane elastomer filled with LiBF4 solution in N-methyl-2-pyrrolidone. Using cyclic voltammetry and galvanostatic charge/discharge methods, it was shown that Ti3C2/AC//PU-PFL100//Ti3C2/AC symmetrical supercapacitor cells, in which the composite based on Ti3C2 with activated carbon is used as electrodes, and PU-PFL100 is used as electrolyte and separator, exhibit specific capacitance of 34.5 F/g at a scan rate of 5 mV/s at the room temperature.