Four of Archipenko's Cubist sculptures, including Family Life and five of his drawings, appeared in the controversial Armory Show in 1913 in New York City.

In 1920 he participated in Twelfth Biennale Internazionale dell'Arte di Venezia in Italy and started his own Art school in Berlin the following year.

In 1922 Archipenko participated in the First Russian Art Exhibition in the Gallery van Diemen in Berlin together with Aleksandra Ekster, Kazimir Malevich, Solomon Nikritin, El Lissitzky, and others.

[8][14] Archipenko departed from the neo-classical sculpture of his time, using faceted planes and negative space to create a new way of looking at the human figure, showing a number of views of the subject simultaneously.

He is known for having introducied sculptural voids, and for his inventive mixing of genres throughout his career: devising 'sculpto-paintings', and later experimenting with materials such as clear acrylic and terra cotta.

Inspired by the works of Pablo Picasso and Georges Braque, he is also credited for introducing the collage to wider audiences with his Medrano series.

[19] During his lifetime Arkhipenko maintained close ties with the Ukrainian community in the USA, participating in the creation of monuments to Shevchenko, Frank and Prince Volodymyr on American soil.