The theoretical research results for piezoresistive properties of ideal silicene and germanene nanoribbons with different conductivity types have been presented. Within the framework of the Hubbard model, the band structure of the nanoparticles under investigation was simulated and a longitudinal component of their elastoconductivity tensor was analytically calculated. For this tensor, the dependences on the relative strain of longitudinal compression/tension as well on the nanoribbon width were studied.