It is assumed that von Zeipel surfaces would play an important role in determining the structure and stability properties of equilibrium configuration of a barotropic fluid. The present study has investigated von Zeipel surfaces and instability of an accretion disc in modified gravity. The findings show that in the framework of modified gravity, the rate of mass accretion in an accretion disc is larger in the inner edge, middle region and the outer edge of the accretion disc much in the same way. However, in the scale of Solar system, von Zeipel surfaces with modified gravity are similar to the standard case.
