Quasicomplanar asteroids are those asteroids which move along the orbits with small reciprocal inclination. In my former works $[1964, 1967]$ I studied the problems of those asteroids. The longinides of the ascending nodes ($\Omega$) and inclinations ($i$) of their orbits differ little among themselves. Thus the differences $\Omega_j - \Omega_k$ and $i_j-i_k$ have been used as the criterion for quasicomplanerity of two asteroidal orbits ($j$ and $k$) which at the same time ought to be smaller than a small chosen value for an angle.