He fought his first match when he was 14 years old, following this with numerous wins in several foreign tournaments and the Ústí nad Labem Grand Prix.

He achieved second place in the Córdoba Cardin tournament in Cuba and the Olympic Games in Sydney (in 2000) crowned his amateur career.

[1] He signed a contract with German stable "SES" (Sport Events Steinforth) on May 1, 2001, drilling in Magdeburg but spending much time at home in Ústí nad Labem.

In 2008 the biggest match of his career up to then came with Konečný facing Sergiy Dzinziruk for the WBO light middleweight title.

In 2011 in Prague he defeated Hussein Bayram to become WBO Inter-Continental light middleweight champion for the second time in his career.

After long discussions it was revealed that he would fight Baysangurov on 10 March for the IBO and WBO Light Middleweight Championship.

In this match he defeated French boxer Salim Larbi and became the interim WBO Light Middleweight champion.

The fight was placed on the undercard of Bernard Hopkins vs. Beibut Shumenov; it was Konečný's debut on American soil, having fought previously only in Europe.

Despite the fact that he lost via unanimous decision (119-109, 119-109, 120-108), he proved to be a tough opponent gaining positive reactions from some critics.