The 69-year-old was in charge of the Czechs for seven years, leading them to the semi-finals of Euro 2004.
After stepping down as coach at the end of last summer's European Championships, Bruckner then accepted the Austria job but resigned at the start of this month following a run of just one win in seven matches.
Former Czech Republic and Austria coach Bruckner has now announced he will not return to coaching.
"My career as a coach is over," he told citing ill health as one of the reasons behind his decision.
"My health and age have become a handicap. This week I'm going to become a normal pensioner."