Abbasi will be sworn-in in later at a special ceremony at the President's House.
In a setback to former President Asif Ali Zardari, a Pakistani court on Friday reopened five anti-corruption cases against him and sought his response to the charges within two weeks.
He said alleviation of poverty from interior Sindh will be among top priorities of his government.
An army truck patrolling the area was targeted and eight soldiers were killed in the attack.
This will be the fifth time that Prime Minister Sharif will pick the top commander of the country's nearly 550,000 ground troops.
Pakistan's new Army Chief has begun setting the stage to act against groups like LeT and JeM
His ministers's conduct may lead to a distancing between the army leadership and Prime Minister Imran Khan reveals Rana Banerji, who headed the Pakistan desk at the Research and Analysis Wing, India's external intelligence agency.
Senior police officers were among 13 people killed on Monday when a Taliban suicide bomber blew himself up targeting them during a protest rally outside Pakistan's Punjab assembly in Lahore that also wounded 60 others.
General Asad Durrani's disclosures could leave considerable egg on the face of those currently wielding the stick in Pakistan, notes Rana Banerji, who headed the Pakistan desk at the Research and Analysis Wing, India's external intelligence agency.
General Qamar Bajwa, his colleagues say, is a firm opponent of extremism and terrorism. He may prove even more forceful in the fight against terrorism than his predecessor, who is credited with launching Operation Zarb-i-Azb, which helped lower the frequency of terrorist attacks.
"We want good ties with all neighbours including India and Afghanistan," he told the Senators.
Nawaz Sharif's appointment of a new army chief will influence India-Pakistan relations
Pakistan's former President Asif Ali Zardari was on Monday summoned by a court to appear before it on October 29 in relation to five corruption cases against him which were re-opened last week, compounding his legal woes.
'What we are today witnessing is the final act of the Pakistani army trying to retain its turf,' argues Colonel Anil A Athale (retd).
A summary of sports events and persons who made news on Saturday.
Summary of sports events and persons who made news on Sunday
'General Bajwa is believed to consider the internal threats to Pakistan's security as far more serious than the bogey of the Indian threat.' 'This doesn't mean that he is soft on India, only that he is more rational and sensible than his predecessor who had a bit of a chip on his shoulder about India,' points out Pakistan expert Sushant Sareen.
