Honey Z. Brennan's artistic journey has been heavily influenced by the radical geometry of the American Abstract Artists group from the 1930s and 1940s and the geometric aspects of Abstract Expressionism. With a largely hard-edge, geometric style, Brennan's canvases beautifully merge cosmic and earthly images, creating a tapestry that captivates the viewer.

While majoring in Political Science at the University of Florida in Gainesville, Brennan took various courses at the renowned Art Students League in New York City. Despite being primarily self-taught, she acknowledges her debt to modern masters such as Al Held, Frank Stella, Ellsworth Kelly, and Kenneth Noland. During the 1960s, while immersing herself in New York's museums and art galleries, she discovered the non-objective geometric paintings of these influential artists, which significantly shaped her artistic perspective. Brennan's art is a rich amalgamation of styles, disciplines, and cultures, referencing futuristic imagery and postmodern architecture.

Brennan's creative process begins with detailed preliminary sketches, capturing intricate details that are then transferred to the canvas on a larger scale. The placement of color in her compositions is guided by intuition, with minimal changes made once the first application of paint has occurred. Utilizing a numerical coding system, she applies layers upon layers of color, typically exceeding ten, to achieve a deep saturation that brings her pieces to life.

A notable aspect of Brennan's artistic philosophy is her deliberate incorporation of a single "mistake" into each composition. This intentional error is a metaphor for human fallibility and the recognition that perfection is an elusive concept. It also allows the artist to relinquish control in an otherwise meticulously executed and highly controlled work of art. According to Brennan, "no accidents are allowed," except for this purposeful inclusion, which adds depth and a touch of imperfection to her magnificent creations.