It is not known when Du Shenquan was born. He was a sixth-generation descendant of the early Tang Dynasty chancellorDu Ruhui. His grandfather Du Zuo served as a judge at the supreme court. His uncle Du Yuanying served as a chancellor during the reign of Emperor Muzong, while his father Du Yuanjiang served as an advisor for a crown prince. Both Du Shenquan and his younger brotherDu Wei passed the imperial examinations in the Jinshi class. He thereafter served as an assistant to the governor of Jiangxi Circuit, and, after subsequently passing a special imperial examination for those who made good rulings, remained at the capital Chang'an to serve as You Shiyi, a low-level advisory official at the legislative bureau of government. He was later promoted to Zuo Bujue, an advisory official at the examination bureau.
During Emperor Xuānzong's reign
Early in the Dazhong era of Emperor Muzong's younger brother Emperor Xuānzong, Du Shenquan was made Sixun Yuanwailang, a low-level official at the ministry of civil service affairs, and then was promoted to supervisor. He was later put in charge of drafting edicts, and later made Zhongshu Sheren, a mid-level official at the legislative bureau. In 856, he was put in charge of determining the passage for imperial examinees at the ministry of rites, and in 857, he selected some 30 of them; it was said that many of them became prominent officials later. He was thereafter made the deputy minister of rites. That winter, he was sent out of Chang'an to serve as the governor of Shanguo Circuit. In 859, he was recalled to serve as the deputy minister of census, in charge of taxation.
During Emperor Yizong's reign
Emperor Xuānzong died later in 859 and was succeeded by his son Emperor Yizong. Thereafter, Du Shenquan was made the military governor of Hezhong Circuit as well as the mayor of its capital Hezhong Municipality, but almost immediately thereafter recalled to serve as the deputy minister of defense and the director of finances, and then made a chancellor de facto with the designation Tong Zhongshu Menxia Pingzhangshi. Because, during the time he served as chancellor, the more senior official Du Cong also served as chancellor, Du Shenquan became known colloquially as "Little Duke Du." Du Shenquan served as chancellor until 863, when he was sent to Zhenhai Circuit to serve as its military governor, continuing to carry the Tong Zhongshu Menxia Pingzhangshi title as an honorary chancellor title. During the subsequent 868-869 rebellion by the officer Pang Xun, who seized Xusi Circuit and attacked nearby circuits, Du, along with fellow military governors Linghu Tao and Cui Xuan ensured that the supply route for Chang'an and the eastern capital Luoyang was continued to be open despite the rebellion. He also sent troops under his officer Zhai Xingyue to try to lift the siege that Pang's followers Wu Jiong and Liu Ji put Si Prefecture under, although Zhai and his soldiers were subsequently annihilated by the rebels. When Xin Dang, a friend of Si's prefect Du Tao, subsequently fought his way out of the siege to seek aid from Linghu and Du Shenquan, Du sent another officer, Zhao Yi, with 2,000 soldiers and a supply of rice and salt, to join forces with Linghu to try to again lift the siege. Xin, along with the Huai'nan and Zhenhai soldiers, were able to fight their way back into the siege to assist its defense, and subsequently, Ma Ju, who had by that point succeeded Linghu as the military governor of Huai'nan, was able to defeat the rebels and lift the siege. After Pang was defeated and killed, for his contributions, Du Shenquan was given the honorary title of acting Sikong, and subsequently recalled to Chang'an to serve as Zuo Pushe, one of the heads of the executive bureau. He was also created the Duke of Xiangyang. In 870, he was again sent to Hezhong Circuit to serve as its military governor, as well as the mayor of Hezhong. He served there for a few years before he was transferred to Zhongwu Circuit. Yet later, he was made a senior advisor to the Crown Prince, with his office at Luoyang. It is not known when he died, but it is known that after he died, he was given posthumous honors, as well as the posthumous name of De. His son Du Rangneng later served as a chancellor under Emperor Yizong's sons Emperor Xizong and Emperor Zhaozong.