It's the third game to be cancelled due to the storm, following the All Blacks' match against Italy and England's clash against France.
World Rugby chief operating officer and tournament director Alan Gilpin said: "The safety of teams, fans, volunteers and workforce is our number one priority. Following strong direction from the Prefecture of Iwate and the City of Kamaishi, we were left with no option but to cancel the match on safety grounds.
"We have been liaising closely with the city and the venue over the past 24 hours and have informed the teams. In line with the direction of the local authorities, we are making the difficult, but right decision to cancel the match.
"Our hearts go out to the teams and also their fans, but also the people of Kamaishi, who have been incredible during what has been a special journey in recent years. Nobody will be more disappointed than them, but also nobody would have better empathy with the decision.
"We remain optimistic that Sunday's remaining matches will go ahead as scheduled in Kumamoto, Hanazono and Yokohama, which are much further south and therefore outside of the impact of the storm conditions this morning."
Millions of people were asked to evacuate their homes across Japan as the typhoon made landfall around 7pm local time.
According to local media, at least two people were dead, nine were missing and more than 80 were injured within hours of the typhoon making landfall.