The results of the public vote were revealed at the Wales Sports Awards in Cardiff where BBC Cymru Wales and Sport Wales celebrated Welsh sporting success.
There were further awards on Monday for legendary Wales and British and Irish Lions scrum-half Sir Gareth Edwards, who was awarded the 2015 BBC Cymru Wales Lifetime Achievement Award and referee Nigel Owens who picked up a Special Recognition Award to mark his achievements in the sport this year.
Biggar, who has shone for the Ospreys and Wales in 2015 reacted to the award by saying: “I’m so thrilled to bits that enough people voted.
“I’m very, very privileged.
“I’m very, very privileged to receive this and thank you everyone for voting.
“There are some great names on there and it’s scary to think that mine name is on there with them.
“It doesn’t feel right but I’m very, very pleased.”
The 26-year-old scored 23 points in a man-of-the-match performance in the 28-25 win over England in the pool stage at the World Cup, including a long-range winning penalty.
In total he scored 56 points in four matches as Wales were knocked out in the quart-finals against South Africa.
In the 2015 Six Nations, he scored 26 points in five games as Wales missed out on the Championship on points difference with four wins from five. He also helped Ospreys to the semi-finals in the Pro12.
Biggar secured the public vote ahead of second-placed Geraint Thomas and world featherweight boxing champion Lee Selby.
Edwards said he was ‘lost for words’ on picking up his award at the ceremony on Monday evening.
Owens, who took charge of Rugby’s showpiece game – the Rugby World Cup final back in October, said he was ‘shocked’ and ‘humbled’ to receive his award.
