Rubuta ci gaba don wannan sakin layi - A cikin 1967 ya fara sana'ar wasan hockey na kankara yana wasa don ƙungiyar HC České Budějovice Junior kuma daga 1970 ya zama memba na 'babban ƙungiyar'. A wannan shekarar Dvořák ya zama mafi kyawun mai karewa na Gasar Hockey ta Duniya ta Junior da aka gudanar a Sweden. A lokacin aikinsa na soja ya koma kungiyar sojojin Dukla Jihlava inda ya kwashe shekaru 2. Ya kuma taka leda a tawagar 'yan wasan kankara ta Czechoslovak kuma ya lashe lambobin yabo guda 8 gaba daya a Gasar Kofin Duniya ta Ice Hockey a cikin shekarun 1974, 1975, 1976, 1977, 1978, 1982 da 1983 kuma ya wakilci Czechoslovakia a 1976 da 1981 Canada Cups da kuma wasannin Olympics na hunturu na 1980. Philadelphia Flyers ne suka zaba shi a zagaye na uku a shekarar 1982
kuma ya buga wasanni uku a Arewacin Amurka, yana wasa a NHL don Philadelphia. Dole ne ya jira har sai ya kai shekaru talatin don yin wasa a NHL, kamar yadda aka haramta yin wasa a ƙasashen waje a ƙarƙashin shekaru 30 saboda dokokin wasanni a lokacin kwaminisanci a Czechoslovakia. Ya bar wasan hockey na kankara bayan kakar wasa ta 88-89 kuma ya koma Czechoslovakia don buga wa HC České Budějovice.