Technically Sony was the first company to release a polygon focused console. Though TECHNICALLY the Saturn had 3D capabilities too even if they were shoehorned into a 2D console at the last minute. I don't remember though if the Saturn beat the Playstation to the market in Japan as well as North America so Playstation might still be the first.
But if you're going to go with technicalities then Atari should get the award for I, Robot or if not that Hard Drivin'. Sega's Virtua Racing and Nintendo's Star Fox also predate the Playstation. If you're going to award something on a technicality then at least be factually correct about it.
Nintendo is the real pioneer of 3D gaming because before Super Mario 64 polygons were largely seen as a sparkling innovation but afterwards they were considered absolutely essential. Before Super Mario 64 polygon games were obscure oddballs that came out once in a while and had tons of novelty appeal. The Playstation may have been the first console to focus on it but most of the early Playstation games SUCKED. Most of the time the games played very much like a sprite game but with polygons. There were some gems like Jumping Flash but s adlyno one paid attention to them so they have no major influence. Super Mario 64 was different, original, and it was a HUGE success and its influence is still felt today. You play any sort of full 3D game today and you can't help but see comparisons to Mario 64. There was a time shortly after Mario 64's release where people would refer to totally unrelated games as Mario 64 clones just because they were in full 3D.
The only reason Sony is getting this award is because they're the market leader so they get way more credit than they deserve. If Nintendo was still the market leader this award would go to them, even if they didn't deserve it. Hell Microsoft would probably win this award if they were the market leader despite not entering the market until a whole 3D generation had gone by. Regardless of how popular gaming becomes in the mainstream the general public will always remain incredibly ignorant of it.