"I am proud of the process we have gone through with these sports," said BPA chief executive Tim Hollingsworth.
Goalball is a game played by two teams of three players with a maximum of three substitutions on each team
It was designed for blind athletes but all players are blindfolded
It is played on an indoor court measuring 18 metres long by nine metres wide
To score a goal you bowl the ball along the floor so that it crosses the opposing team's goal line
The defending team has to prevent the ball going in by stopping it whilst remaining in their team area, then try and score
The court has tactile markings of string taped to the floor to help players' positioning
The ball contains internal bells to help players
"I strongly believe we have the right outcome."
Both sports needed to meet the BPA's criteria for "credible performance" which is being demanded of the 300-strong British Paralympics athletes going to the Games.
At a recent tournament in Venice, both ParalympicsGB goalball teams finished in the final four and the women were in contention for the gold medal.
Hollingsworth added: "In setting such clear parameters for what constitutes credible performance, in particular what progression we expected to see since November last year, we have remained true both to our standards for the team and our ambition to have athletes compete in every sport in London."
The next stage for both sports will be the nomination of athletes to fill these slots, which will take place in May and June.
BPA performance director Penny Briscoe said: "Neither of these sports was in the British team in Athens or Beijing so this has been a tough journey and they both know that there is still a long way to go, with a lot of hard work to be put in before the Games."
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