His approach is defined by a strict adherence to Neoclassical principles. Meynier used clear contours and balanced lighting to define his figures. In his depictions of the Muses, such as Erato and Polyhymnia, he paired each figure with specific attributes that identified their role in the arts and sciences. His work often combined the celestial with the human, seen in his painting of Apollo alongside Urania. This method allowed him to create images that were both educational and decorative.

Modern collectors find value in the architectural quality of his compositions. The structured nature of his paintings provides a sense of calm and order in a room. His use of light and shadow creates a three-dimensional effect that translates well to high-quality prints. These works provide a connection to the Enlightenment era without the heavy political overtones found in other works from the same period. His soft colour palettes make these classical scenes easy to integrate into contemporary decor.