Byrt studied at the Poznań University of Economics (UEP), in 1977 he obtained a Ph.D. degree in economic studies. From 1978 to 1986, he worked for the Poznań International Fair
(Polish: Międzynarodowe Targi Poznańskie, MTP), first as marketing director and since 1982 as general director. Later he has been an economic consultant at the Polish Embassy in Brussels and subsequently Deputy minister (wiceminister) in the Ministry of Economic Cooperation.
Byrt then advised the MTP Board of Directors before becoming Chairman of the Board and President of the Polish Exhibition Association from 2009 to 2014. In January 2015, he was appointed Polish Ambassador to France and Monaco. After Beata Szydło took over the government Byrt had to leave the diplomatic service in July 2016.