Paul Schweikher was born in Denver, Colorado in 1903 to a family of musicians. He originally trained at the University of Colorado for a year (1921–22) before marrying his wife. He moved with her to Chicago, Illinois and studied at The Art Institute of Chicago while working for the firm of Lowe & Bollenbacher. Schweikher worked his way up from a clerk to a construction supervisor. After two-and-a-half years at the firm, Schweikher left to join the David Adler practice. Among the projects that Schweikher worked on was the William McCormick Blair Estate in Lake Bluff, Illinois.
In 1953, Schweikher was named chairman of the Yale School of Architecture, following the retirement of George Howe. Five years later, he resigned from the university to take a position as head of the Carnegie School of Architecture. He retired in 1970 and moved to Sedona, Arizona, where he opened a small practice. Schweikher died in 1997.