Tangorra started his career as an accountant at the General Directorate of Railway Works in Ancona in 1888. From 1892 to 1902 he worked at the University of Rome as a lecturer. He was a faculty member at the University of Pisa between 1902 and 1922.{{cite encyclopedia|title=Tangorra, Vincenzo|url=https://www.treccani.it/enciclopedia/vincenzo-tangorra/|encyclopedia=
Treccani After the end of World War I Tangorra joined People's Party and was elected to the Italian Parliament where he served for two terms in the XXV and XXVI legislatures. He was undersecretary at the ministry of the treasury from 4 July 1921 to 26 February 1922 during the
first cabinet of
Ivanoe Bonomi. In October 1922 Tangorra was appointed minister of treasury to the cabinet led by Benito Mussolini and held the post until his sudden death in December 1922. Italian economist
Alberto de' Stefani succeeded Tangorra in the post.
Views Tangorra developed a theory of
public finance in which he emphasized the significance of the political elements. He further argued that legal principles should be part of fiscal studies.{{cite journal|author1=Maria Luisa Boggeri|author2=J. Wilner Sundelson|title=Italian Theories of Fiscal Science|journal=
Political Science Quarterly|date=June 1938|volume=53|issue=2|page=257 ==Death==