Zuckerberg said he would be taking advantage of Facebook's option to take leaves in parts.
"I'll take a month off to be with Priscilla (Chan) and the girls at the beginning, and then we'll spend the whole month of December together as well," Zuckerberg wrote in a Facebook post.
Zuckerberg had also taken a two-month paternity leave following the birth of his first child, Maxima Chan Zuckerberg, in 2015.
The billionaire internet mogul said in March that the couple was expecting a second child.
(Reporting by Aishwarya Venugopal in Bengaluru; Editing by Maju Samuel)