Bradburn, who has signed a two-year deal, was in charge during Pakistan's recent home series against New Zealand, where the side defeated the tourists 4-1 in one-day internationals and split the five-match T20I series 2-2.
Previously in charge of Scotland, Bradburn served as Pakistan's fielding coach from 2018 to 2020 before a stint at their National Cricket Academy (NCA).
"Bradburn joins with a plethora of coaching experience," Pakistan Cricket Board chairman Najam Sethi said in a statement.
"After having worked with our men's side before and at the NCA, he understands our culture and philosophy of cricket well and is an ideal candidate to take our team forward."
Pakistan recently appointed former head coach Mickey Arthur as team director ahead of their three-match ODI series against Afghanistan and the 50-over Asia Cup.
Arthur was Australia's head coach between 2010 and 2013.
"It's a great honour for me to work with a highly talented and skilful side like Pakistan as a head coach," said Bradburn, who will aim to build momentum ahead of the 50-over World Cup later this year.
"We've been working hard on raising our game and are eager to showcase our growing skills. Mickey Arthur and I are excited to support, challenge and develop our players."
Former South Africa player Andrew Puttick has signed a two-year contract as Pakistan's batting coach.
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