He made his National Hockey League (NHL) debut with the Thrashers on 12 February 2010 against the Minnesota Wild.

[2] While playing for Latvia at the 2011 World Championships, in Bratislava, Slovakia, Kulda checked Radek Martínek of the Czech Republic into the boards, knocking him unconscious and requiring him to be hospitalized.

[3] On 15 July 2012, Kulda signed a one-year contract with Sibir Novosibirsk of the Kontinental Hockey League.

At the end of 2012–13 season with Novosibirsk, Kulda signed a pro-rated one-year contract to return with the Winnipeg Jets of the NHL.

On 15 July 2013, Kulda signed a two-year contract with his second KHL club, Salavat Yulaev Ufa.