Haque joined as the Munsef of the judicial cadre of Bangladesh Civil Service in 1983.[4]
In 2012, Haque indicted chairman of Ekushey Television Abdus Salam and its managing director Ashraful Alam on tax evasion charges.[5]
On 14 July 2014, Haque ordered the arrest of the top management of Destiny Group.[6] Haque presided over the Dhaka Metropolitan Sessions Judge's Court in 2014.[7] He heard the hearing of the case against Muhammad Jasimuddin Rahmani.[7] He also held the hearing against former president Hussain Muhammad Ershad in a corruption case relating to the purchase of Rader in a case from 1992.[8] He placed indictments against Oishee Rahman over the murder of her parents; her father was a police officer and the incident was made adapted in web based TV show titled August 14.[9][10] He had also sent Roads and Highways Department engineer Abdul Malek to seven years imprisonment.[11] He accepted charges against Moudud Ahmed, Bangladesh Nationalist Party politician, and Monjur Ahmed, his brother, on charges of land grab in Gulshan.[12]
In 2014, Haque retired as a sessions judge.[4]
Haque had served as the legal and licensing commissioner of Bangladesh Telecommunication Regulatory Commission (BTRC).[13] He tried to collect nearly 85 billion taka from telecom operators in back taxes in 2019.[14][15][16]
Haque was appointed chairman of Bangladesh Telecommunication Regulatory Commission on 31 January 2019 replacing Dr. Shahjahan Mahmood.[17][18] During his term, Bangladesh Telecommunication Regulatory Commission blocked the official website of Bangladesh Nationalist Party in 2018 during national elections.[19] During his term, the ownership of cellphone towers was shifted from cellphone companies to independent contractors under a decision to not allow cell phone operators to own towers.[20][21]
Haque was appointed as the commissioner of the Anti-Corruption Commission on 10 March 2021 with the rank of a judge of the High Court Division.[22] He considered investigating the additional secretary to the Health Services Division, Kazi Jebunnesa Begum, after she assaulted, Rozina Islam, a journalist of Prothom Alo and filed a case against her under Official Secrecy Act.[23]
In July 2025, Haque's allotment of a flat in the Dhanmondi Housing Project was cancelled by the government of Bangladesh.[24]
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