Strombotne's first one-man show was at the Studio 44 gallery in San Francisco in 1956. Since then, he has had over seventy five one-man shows, with twelve retrospectives:[5] four in New York City, twenty-two in Los Angeles, and others in San Francisco, Washington D.C., Santa Barbara, Santa Fe, Newport Beach (CA), and other venues. His work has also been included in most major group shows in America, including two Whitney Biennials, the Carnegie International and the Corcoran Biennial.
Awards he has received include the Art in America "New Talent Award," and an appointment to the Institute of Creative Arts at the University of California in 1965–66.