Moin, 41, is the youngest person to be named to the chief selector's post by the board.
The former wicketkeeper-batsman, who played 69 Tests and 219 one-day internationals, said he saw his new assignment as a big challenge.
"Being chief selector in Pakistan cricket is a tough challenge for anyone because selection is not an easy job in a country where everyone is passionate about cricket," Moin said.
"But I have a clear vision off how to go about things and start preparing for the 2015 World Cup. I can say there is talent in Pakistan cricket," he added.
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Qasim had resigned as chief selector after the Pakistan team lost all three of its group matches in the Champions Trophy in England in June.
Qasim cited personal and health reasons for his decision to step down but privately it was known he was unhappy with interference from the team management in selection affairs.
The board said the other members of the selection committee would continue to work under Moin until further orders.
Moin indicated to the media in Lahore that he had been given the task of preparing for the 2015 World Cup and would be looking to form his own team of selectors.
Moin also made it clear that he would work with the same sincerity as chief selector as he had served the national team.
"The way I look at it some hard decisions will need to be taken but we have to all keep in mind that we need to have a strong squad for the coming World Cup," he said.