Jan Tinbergen was the eldest of five children of Dirk Cornelis Tinbergen and Jeannette van Eek. His brother Nikolaas “Niko” Tinbergen would also win a Nobel Prize (for physiology, during 1973) for his work in ethology, while his youngest brother Luuk would become a famous ornithologist. Between 1921 and 1925, Tinbergen studied mathematics and physics at the University of Leiden under Paul Ehrenfest. During those years at Leiden he had numerous discussions with Ehrenfest, Kamerlingh Onnes, Hendrik Lorentz, Pieter Zeeman, and Albert Einstein. After graduating, Jan Tinbergen fulfilled his community service in the administration of a prison in Rotterdam and at the Central Bureau of Statistics (CBS) in The Hague. He then returned to the University of Leiden and in 1929 defended his PhD thesis titled “Minimumproblemen in de natuurkunde en de economie” (Minimisation problems in Physics and Economics). This topic was suggested by Ehrenfest and allowed Tinbergen to combine his interests in mathematics, physics, economics and politics. At that time, CBS established a new department of business surveys and mathematical statistics, and Tinbergen became its first chairman, working at CBS until 1945. Access to the vast CBS data helped Tinbergen in testing his theoretical models. In parallel, starting from 1931 he was professor of statistics at the University of Amsterdam, and in 1933 he was appointed associate professor of mathematics and statistics at The Netherlands School of Economics, Rotterdam, where he stayed until 1973.

From 1929 to 1945 he worked for the Dutch statistical office and briefly served as consultant to the League of Nations (1936–1938). In 1945 he became the first director of the Netherlands Bureau for Economic Policy Analysisand left this position in 1955 to focus on education. He spent one year as a visiting professor at the Harvard University and then returned to the Dutch Economic Institute (the successor of the Netherlands School of Economics). In parallel, he provided consulting services to international organizations and governments of various developing countries, such as United Arab Republic, Turkey, Venezuela, Surinam, Indonesia and Pakistan. Jan Tinbergen was a member of the Royal Netherlands Academy of Arts and Science and of the International Academy of Science. In 1956 he founded the Econometric Institute at the Erasmus Universiteit Rotterdam together with Henri Theil, who also was his successor in Rotterdam. In 1960 he was elected as a Fellow of the American Statistical Association. The Tinbergen Institute was named in his honour. The International Institute of Social Studies (ISS) awarded its Honorary Fellowship to Jan Tinbergen in 1962. In 1968, he received an honorary doctorate from Sir George Williams University, which later became Concordia University.