Table-toppers continued their impressive unbeaten run with a commanding three to one scoreline against ten-man the visiting side.
Frank Lampard's team started to a flying start with Brandon Thomas-Asante and the midfielder scoring the back of the net within the opening minutes.
The Japanese winger added a three-goal goal just before the interval, while James Abankwah was shown a red card before the whistle.
A Watford player scored a second-half for the away team, but it proved nothing more than a consolation strike.
Their keeper the keeper had previously saved a clear opportunity for the winger, which could have changed the contest early on.
Lampard said: “It was a challenging game this afternoon because they are a strong side.”
Jack Clarke was introduced from the bench to net the only goal in a one-nil win over the visitors.
The home side dominated the play but only secured the deadlock late thanks to Clarke's 5th strike of the season.
The away team thought they had equalized in injury time, but the goal was chalked off for a foul in the box.
Hayden Matthews scored a second-half own goal to give Mark Robins' team a narrow victory.
Portsmouth have now won just a single match since the conclusion of last month.
Mark Robins remarked: “It was one of the vital victories we’ve had this season.”
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