[2] He was the third deputy of the Roh Moo-hyun administration after going through the Strategic Chief of the National Intelligence Service.
In 2017, he was appointed as President Moon Jae-in's first director of National Intelligence Service.
In July 2020 he was designated as Moon's second director of National Security Office replacing Chung Eui-yong.
[3] This makes Suh as one of four people who continue to serve President Moon as cabinet minister or ministerial-level government official from the beginning of Moon's presidency in 2017 along with Hong Nam-ki, Kim Sang-jo and Kang Kyung-wha as of December 2020.
In December 2022 Hoon was arrested in South Korea on charges of tampering with evidence that was related to the killing of South Korean Ministry of Oceans and Fisheries official by North Korean espionage agents near the Northern Limit Line in September 2020.