Human life in Europe started to change radically in the first half of the twentieth century between two world wars. Comparing to the nineteenth-century Western musical environment, employing the early compositional technique and style of the past, mainly the Baroque and Classic period, Neo-classicism among the various movements in the twentieth century is extremely important but also controversial. With diversity of the musical style, Igor Stravinsky composed Concerto for Two Solo Pianos in 1935, which combined the compositional principles of the seventeenth and eighteenth centuries and the new musical innovations of the twentieth century. The piece reveals characteristics of Neo-classicism thoroughly. In addition to adopting four traditional forms and thematic development technique, Stravinsky replaced the orchestra part with the second piano and still kept the concertante textural treatment of a traditional concerto format. The first chapter will introduce the life and musical style of Stravinsky. In the second chapter Neo-classicism movement and how deeply Stravinsky was influence by it will be discussed. The third chapter focuses on the compositional background and formal analysis of the Concerto for Two Solo Pianos. And final part will be the conclusion of this topic.