Montgolfier is a worn lunar impact crater that is located in the northern hemisphere of the Moon's far side. To the east-northeast is the crater Paraskevopoulos, and southwest of Montgolfier lies Schneller.
The entire southern rim of this crater has been overlain by a cluster of four smaller craters, including Montgolfier P and J, and Woltjer. Montgolfier P and the unnamed crater to its northeast have linear fractures in their floors. The remaining rim of Montgolfier has been worn by smaller impacts, leaving a somewhat uneven perimeter that is overlain by some small craters. The interior floor is pitted and lacks a central peak.
Prior to formal naming by the IAU in 1970, Montgolfier was called Crater 78.
By convention these features are identified on lunar maps by placing the letter on the side of the crater midpoint that is closest to Montgolfier.