Pakistan registered a comprehensive victory by an innings and 116 runs and went 1-0 up in the two-match Test series.
A hundred from Fawad Alam (108*) and a half-century by Imran Butt (91) propelled Pakistan to a 198-run lead on the second day in Harare.
Pakistan took command of the first test against Zimbabwe after four-wicket hauls from Hasan Ali and Shaheen Afridi helped bowl the hosts out for 176.
This was the Zimbabwe first win over the Pakistan in Twenty20 International in 16 attempts
Zimbabwe fell 12 runs short of beating Pakistan in a T20I for the first time after being well-set in chase of 150.
Pakistan beat South Africa by three wickets in the fourth T20I to win series 3-1.