17th-century French art is generally referred to as Baroque

Baroque

The Baroque is a period and the style that used exaggerated motion and clear, easily interpreted detail to produce drama, tension, exuberance, and grandeur in sculpture, painting, literature, dance, and music...

, but from the mid to late 17th century, French art is more often referred to as Neo-classicism, which implies an adherence to certain rules of proportion and sobriety uncharacteristic of the Baroque as it was practiced in Southern and Eastern Europe during the same period.
In the early part of the 17th century, late mannerist

Mannerism

Mannerism is a period of European art that emerged from the later years of the Italian High Renaissance around 1520. It lasted until about 1580 in Italy, when a more Baroque style began to replace it, but Northern Mannerism continued into the early 17th century throughout much of Europe...

 and early Baroque

Baroque

The Baroque is a period and the style that used exaggerated motion and clear, easily interpreted detail to produce drama, tension, exuberance, and grandeur in sculpture, painting, literature, dance, and music...

 tendencies continued to flourish in the court of Marie de Medici and Louis XIII

Louis XIII of France

Louis XIII was a Bourbon monarch who ruled as King of France and of Navarre from 1610 to 1643.Louis was only eight years old when he succeeded his father. His mother, Marie de Medici, acted as regent during Louis' minority...

.