Choe received his first significant political post in 1985 as a manager of the Sea of Blood Opera Troupe. In 1987 he became the head of the Pyongyang Art Troupe. In the 1990s he was a vice chairman of . In January 1996, Choe became a secretary on the central committee of the Kim Il-sung Socialist Youth League and was tasked with extracurricular education. He returned to his old post as the head of the Pyongyang Art Troupe in 2000. In 2004, he became a deputy director of a department of the Central Committee of the Workers' Party of Korea. He was involved in setting up the Unhasu Orchestra and the Moranbong Band. In April 2013 Choe became the senior deputy director of the Propaganda and Agitation Department. In December 2015, Choe was the leader of the Merited State Choir and the Moranbong Band on a tour to China when the planned concerts were abruptly called off. Until around 2013 and 2014, Choe was a relatively routine member of Kim Jong-un's on-the-spot guidance tours. With his promotion to PAD, however, he was seen as a potential successor to propaganda chief Kim Ki-nam. According to Adam Cathcart of Sino-NK, "Choe Hwi has a lot to say about statues, monuments, and inscriptions" and of propaganda overall. Choe was elected to the 13th Supreme People's Assembly in the March 2014 election from Constituency 171. He became a member of the 7th Central Committee of the WPK at the party's 7th Congress in May 2016. During the second plenary meeting of the central committee, he was elevated to the position of Vice Chairman of the WPK and alternate member in its politburo. Choe's portfolio as the Vice Chairman of the party covers workers' and social organizations affairs. In December 2017, he replaced Choe Ryong-hae as the chairman of the National Physical Culture and Sports Guidance Commission. Before this appointment, Choe was considered relatively unknown and it was seen as a sign of Choe's rise to the power elite of North Korea. Choe belonged to the delegation that traveled to South Korea for the 2018 Winter Olympics to meet President Moon Jae-in. A special permit by the United Nations Security Council's North Korea sanctions committee had to be secured for Choe's travel, because the Security Council had imposed an international travel ban and an asset freeze on him with the of 2017. Choe was the only person from the 23-strong North Korean delegation who was under Security Council sanctions. Choe is also under US sanctions.