Solomon was the son of Max and Tillie Alterman Kimerling of Birmingham. He graduated from Ramsay High School and was a member of the Air Force ROTC at the University of Alabama. He married the former Rita Capouya in 1953 while they were both in college. During the Korean War he served in Wyoming and in France.
After returning home, he built up his father's manufacturing company, an outgrowth of his grandfather's scrap metal business, and took it public before selling the company in 1977. He served a term as president of the International Oxygen Manufacturers Association. He was also involved in the development of solar energy installations. After retiring he taught as an adjunct professor at the UAB School of Business.
Kimerling also served as president of the Birmingham Jewish Federation, and was a founding member of the National Jewish Center for Learning and Leadership in 1974.
In 2012–2013 Kimerling worked with historian Pamela Sterne King to research and write a 17-part newspaper column series for Weld for Birmingham recounting Birmingham's efforts to unseat Bull Connor. He also created the Rita C. Kimerling Public History Endowment for the UAB Department of History.
- "Personal History" (October 17, 2017) Arts & Sciences Magazine, UAB College of Arts and Sciences
- "Solomon P. Kimerling" obituary (April 8, 2022) The Birmingham News
- Norman, Margaret; Mark Kelly & Pamela Sterne King (Winter 2023) "Remembering Solomon Kimerling and Weld's 'No More Bull'." Alabama Heritage No. 117, pp. 4–7