Tuhia he haere tonu mo tenei irava - I te tau 1967 ka tiimata tana mahi hockey hukapapa mo te kapa HC České Budějovice Junior a mai i te 1970 ka uru ia ki te 'timata matua'. I taua tau ano i whakaingoatia a Dvořák ko te kaitautoko pai rawa atu o te World Junior Ice Hockey Championships i tu ki Sweden. I a ia e mahi ana i te hoia, ka neke ia ki te kapa hoia o Dukla Jihlava i reira ia e noho ana mo nga tau e 2. I takaro hoki ia mo te kapa hockey hukapapa a Czechoslovak, a, e 8 nga mētara i toa i te Ice Hockey World Championships i nga tau 1974, 1975, 1976, 1977, 1978, 1982 me te 1983 me te tohu mo Czechoslovakia i te 1976 me te 1981 Canada Cups me te 1980 Winter Olympics. I tohua ia e te Philadelphia Flyers i te rauna tuatoru i te tau 1982
I takaro ia i ngā tau e toru i Amerika ki te Raki, e tākaro ana i te NHL mō Philadelphia. I tatari ia kia toru tekau ona tau ki te takaro i te NHL, i te mea e tino aukatihia ana te takaro ki tawahi i raro i te 30 tau na nga ture hakinakina i te wa o te communism i Czechoslovakia. I wehe ia i te hockey hukapapa ngaio i muri o te wa 88-89 ka hoki ki Czechoslovakia ki te takaro mo HC České Budějovice.