After winning two terms as treasurer of Dallas County, Iowa in 1877 and 1879, he was elected Iowa State Treasurer in 1880, and reelected in 1882. In 1884, the incumbent Republican U.S. Representative of Iowa's 7th congressional district, John A. Kasson, declined to seek re-election. Conger won the Republican nomination to succeed him, and the general election. Conger was re-elected twice. In Congress, he served as chairman of the Committee on Coinage, Weights, and Measures from 1889 to 1890. In 1890, he entered the race for a fourth term in Congress., Forbidden City, Beijing, circa 1901
Foreign service
In September 1890, less than two months before the general election, Conger resigned his Congressional seat and abandoned his re-election campaign, in order to accept appointment by President Benjamin Harrison as U.S. Envoy Extraordinary and Minister Plenipotentiary to Brazil. He served until September 1893, when he was replaced by an appointee of incoming Democratic president Grover Cleveland. He returned to that position in 1897 following the election of the next Republican president, William McKinley, serving from August 9, 1897, to February 6, 1898. In 1898, President McKinley appointed Conger as Envoy Extraordinary and Minister Plenipotentiary to China, where he served as the United States' ambassador to the Great Qing Empire. McKinley had initially nominated Charles Page Bryan for the China post, but when Bryan's lack of relevant experience prompted objections in Congress, McKinley chose Conger for China and nominated Bryan for Conger's former position in Brazil. Conger's arrival in China in July 1898 coincided with the emergence of a violent anti-foreign, anti-Christian movement, the Society of Righteous and Harmonious Fists in China. In June 1900, Boxer fighters gathered in Beijing to besiege the foreign embassies, in what became known outside of China as the Boxer Rebellion. Sensationalist American newspapers initially reported, in screaming headlines, that Conger was "undoubtedly dead," together with his staff consisting of H. G. Squires, William E. Bainbridge and Fleming D. Cheshire as well as all other foreigners in Beijing. Americans and other westerners retreated to the Beijing Legation Quarter, where they were under siege for fifty-five days until the Eight-Nation Alliance brought 20,000 troops to their rescue. After receiving a hero's welcome on return to the United States in 1901, Conger resumed his duties in China for several more years, serving until 1905. His wife became a friend of Cixi, the Empress Dowager, and an outspoken critic of Western encroachments on Chinese sovereignty and interference in its internal affairs. In 1905, Conger was appointed by President Theodore Roosevelt as Ambassador to Mexico. His service in that position was brief; it began on June 15 and ended on August 3, 1905, when President Roosevelt chose Conger for a different post. Roosevelt appointed him to perform a special mission to China made necessary when the United States' interpretation of the Chinese Exclusion Act, and failure to build the Hankow railroad, prompted a boycott of American goods in China. However, a week later, Conger declined the appointment, and resigned his appointment in Mexico effective two months later. He died in Pasadena, California, on May 18, 1907, and was interred in Mountain View Cemetery in Altadena, California. His death was attributed to a disease contracted in China.