In this paper, new light curves (LCs) of contact eclipsing binary (CEB) systems LX Lyn and V0853 Aur
are presented and analysed by using the 2015 version of the Wilson-Devinney (W-D) code.
In order to explain the asymmetric LCs of them, cool star-spots on the components were employed.
It is suggested that the fill-out degree of them are f=12.0\% (LX Lyn) and f=26.3\% (V0853 Aur), respectively.
At the same time, we found that LX Lyn is a W-type eclipsing binary (EB) with an orbital inclination of $i=84.88^{\circ}$ and a mass ratio of $q=2.31$.
V0853 Aur is also a W-type CEB with a mass ratio of $q=2.77$ and an orbital inclination of $i$=$79.26^{\circ}$.
Based on all available times of light minimum, the orbital period changes of them are studied by using the $O-C$ method.
The $O-C$ diagram of LX Lyn reveals a cyclic oscillation with a period about 14.84 years and an amplitude of 0.0019 days,
which can be explained by the light-travel time effect (LTTE) due to the presence of a third body with a minimum mass of 0.06$M_\odot$.
For V0853 Aur, it is discovered that the $O-C$ diagram of the system also shows a cyclic oscillation with a period of 9.64 years and an amplitude of 0.03365 days.
The cyclic oscillation of V0853 Aur can be attributed to the LTTE by means of a third body with a mass no less than 3.77$M_\odot$.
The third body may play an important role in the formation and evolution of these systems.