He fended off competition from team mates Elliot Daly and Christian Wade, Northampton Saints forward Louis Picamoles and Saracens fly-half Owen Farrell.
"I'm very humbled and surprised to win this award and I am even more proud for the recognition shown by my fellow players," Gopperth, a former junior All Black, said in a statement.
"I am very lucky to be part of such a driven and successful club, and my teammates deserve this award as much as I do.
"I'm sure I will look back at this moment down the track and be extremely proud."
Having played a crucial role in Saracen's push for domestic silverware, Farrell was named the England Player of the Year, while Bath Rugby's Zach Mercer picked up the Young Player of the Year award.
(Reporting by Hardik Vyas in Bengaluru; Editing by Hugh Lawson)
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