The artistic approach of Frederick G. Becker involves a balance of whimsical figures and abstract geometry. He used wood engraving and etching to produce sharp lines and rhythmic patterns. In his work 'Two Poems with Birds', he used negative space to create a sense of motion. Becker moved away from literal representation. He practised a style that combined surrealist ideas with precise, almost mathematical arrangements. He often treated the printing plate as a space for spontaneous discovery.

Collectors of fine art prints find his work appealing for its graphic clarity. His prints represent a bridge between early twentieth-century figuration and post-war abstraction. The clean lines and balanced compositions suit modern interior design. Becker eventually shared his expertise as a teacher at Washington University in St. Louis. He avoided cluttered layouts. He chose instead to focus on the interaction between form and the paper surface.