The son of the late senior PPP politician Fauzia Wahab (1956-2012), Murtaza has earned his Bachelors of Commerce degree from the University of Karachi before pursuing an LLB from the University of London and Bar at Law from Lincoln's Inn, after which he became an advocate of the Sindh High Court.

[10] He ran for the seat in Sindh Provincial Assembly as a candidate of PPP from Constituency PS-111 (Karachi South-V) in 2018 Pakistani general election but was unsuccessful.

[12] On 19 August 2018, he was inducted into the provincial Sindh cabinet of Chief Minister Syed Murad Ali Shah.

[16] In the 2023 election, Murtaza Wahab and Hafiz Naeem Ur Rehman competed for the position of mayor in Karachi.

After the unofficial mayoral results were announced, there were clashes between JI and PPP workers outside the Arts Council of Pakistan.