The Premier League side will switch venues at the end of the season in response to spectator demand.
Upton Park, with a capacity of 35 000, has been the Hammers' home since 1904.
"Today's announcement is further evidence of the upward trajectory of this club," said club vice-chairperson Karren Brady.
"We are on course for what could be our most successful Premier League performance ever and our ambitions to finish in the top six and break into Europe are very much within reach.
"West Ham fans are famous the world over for their wonderful support. They have demonstrated this once again at matches this season and in the way that they have embraced the move to the new ground. We are delighted to be able to reward that magnificent support by releasing additional season tickets and bring even more visitors to the Park to enjoy all that it has to offer.
"The 2016-17 season looks bright for the team, the club and our fans. Not only will we have one of the world's greatest new stadiums, but now it will be one of the very largest in the world's most-watched league - a stadium with both the quality and the capacity to match our ambitions."