Jossi (23), Byron (21) and Beau-James (18) were selected, along with 12 others, in a largely new-look squad, following the inclusion of snowboard slopestyle and freeski halfpipe and slopestyle events.
Many pairs of siblings have represented New Zealand at either the Summer or Winter Olympics, but the Sochi Games would be the first time three siblings had worn the silver fern, New Zealand Olympic Committee chief executive Kereyn Smith said.
The Wells brothers will be joined in Sochi by father Bruce and mother Stacey, which Jossi Wells described as unreal.
''It's feeling pretty amazing to experience our first Olympics together as a family,'' he said.
''It's going to be a pretty unreal experience, I think.''
Jossi Wells sealed a second slopestyle quota spot for New Zealand with a gold medal at the world cup event at Gstaad in Switzerland last weekend.
The win came despite minimal time on the snow for the last eight weeks as he struggled to overcome a heel problem. Wells was pumped as he prepared to take part in the Big Air competition and the slopestyle final in the X-Games at Aspen this weekend.
''It's been a pretty good week with heading over to Switzerland with that pressure of securing another quota spot.
''I went out there and walked away with first place, which definitely got my confidence up heading in to the X-Games in Aspen, where we are right now.
''I'm feeling confident on my skis - my heel still aches when I'm landing, but other than that, I can still ski and I'm feeling good. It's not hindering me when I ski, and I can still do my run.
''I can't wait for next week and to head off to Sochi.''
The Olympics appear to have come around during the good part of the injury cycle for the New Zealand team, freeski and snowboard coach Tom Willmott said.
''Bruce Wells compared our sport to running a 100m on a tightrope. You can fall off at any stage,'' Wilmott said.
''Certainly injuries are a big part. If we look at our injuries over the last four years, there have certainly been a few.
''But overall I'm quite happy with the health of our guys.''
Wanaka snowboarder Rebecca Sinclair is having her second crack at the Olympics after finishing 21st in the halfpipe at Vancouver in 2010, and hopes her experiences will come in handy around the Olympic village with some of her team-mates.
''It's a good group of people and we help each other out. Hopefully, I can help some of them out,'' Sinclair said.
Sinclair had injury problems of her own just over a year ago, when she tore the anterior cruciate ligament in her right knee during a competition in December 2012, requiring surgery - her second ACL construction after a training accident in 2007.
''My body's feeling good. I had a hiccup there with knee surgery about a year ago and I missed the first round of qualifiers, so I needed a good result in the last couple to qualify.''
Sinclair (22) hit form at the right time with a second placing at a World Cup event in Finland last month to secure her place.
Other Wanaka athletes to make the team are Janina Kuzma (freeski halfpipe), Lyndon Sheehan (freeski halfpipe), Katharine Eustace (skeleton) and Stefi Luxton (snowboard slopestyle). Queenstown's Adam Barwood will compete in the slalom and giant slalom.
