David Solomon Jr. was born on July 19, 1916, in Helena, Phillips County, Arkansas.
Solomon received his undergraduate degree at Washington University in St. Louis, Missouri. He graduated from Harvard Law School in 1939, after which he returned to Helena to begin practicing law. Solomon served in the US Army during World War II, eventually reaching the rank of master sergeant.
Solomon was elected city attorney in Helena in 1950, a position that he held for ten years. In 1975 Governor David Pryor appointed Solomon to the Arkansas State Highway Commission. He served as director of Worthen Bank, First National Bank of Phillips County, and Southern Bancorp. Solomon was president of the White River Drainage District for fifty years and a member of the executive committee of the Mississippi Valley Flood Control Association. He was chair of the South-Central region of the Anti-Defamation League during the 1960s, 1970s, and 1980s.
Solomon helped form the Industrial Development Corporation in Helena, which worked to bring new industry to the city. In 2011 Legal Aid of Arkansas recognized Solomon as the Volunteer Attorney of the Year for Phillips County, and in 2014 he was honored by the Arkansas Bar Foundation for seventy-five years of service at the Bar.