Russia went top of Group A after two goals by attacking midfielder Alan Dzagoev condemned Czech Republic to defeat in their opening Euro 2012 game.
Dzagoev gave Dick Advocaat's side the lead with a shot after Aleksandr Kerzhakov headed against the post.
Roman Shirokov made it 2-0 with a chip following good work by Andrey Arshavin.
Vaclav Pilar reduced the deficit before two thunderous finishes by Dzagoev and substitute Roman Pavlyuchenko completed the rout.
Russia were as ruthless in Wroclaw as the Czechs were poor.
Czech coach Michal Bilek now faces a huge task lifting his deflated players ahead of their next game against Greece on 12 June, a match they cannot afford to lose if they are to advance in the tournament.
With co-hosts Poland earlier held to a 1-1 draw by 10-man Greece,both teams knew victory at the Municipal Stadium would earn them an early lead at the top of the group.
And Russia, semi-finalists in 2008 under Guus Hiddink, are going to take some stopping as they showed they mean business in the tournament.