Lukáš Slavický was born in Prague and received his training at the conservatory where his father Jaroslav Slavický is director of the dance department.
Since both his parents were ballet dancers dance was in his blood from boyhood and he very soon attracted attention. While still a student he danced solo parts in Nutcracker and La Fille mal gardée. When the school guested at the theatre in Brno he danced the Don Quixote pas de deux. For this and many other performances he chose Zuzana Zahradníková as his partner and together they came to Munich in 1999, Zuzana as a Trainee and Lukáš as a Corps de ballet dancer.
In 1997 Lukáš Slavický won the first prize at the ballet competition in Vienna, was in the finals of the Prix de Lausanne in 1998 and was awarded the third prize at the Nureyev competition in Budapest the same year, and again, one year later, in Nagoya, Japan. Even before his first professional engagement he was invited to dance at galas, e.g. in 1997 and 1998 in Ludwigsburg for the Birgit-Keil-Foundation, and again at the gala on the occasion of the award of the German Tanzpreis to Birgit Keil. In 1999 he appeared at the Kremlin Palace in Moscow with the Jeune Ballet de France and at the Nureyev memorial gala in Budapest.
Since the season 1999/2000, Lukáš Slavický has been a member of the Bavarian State Ballet. Even in his first year in the corps de ballet he was given small solo parts like the pas de six in Giselle and as Bird-Spirit in A Cinderella Story by Neumeier. At the beginning of the 2000/2001 season, he made his debut as Romeo in John Cranko's Romeo and Juliet and as Prince in Neumeier’s A Cinderella Story, in both cases as partner of Anna Villadolid. The same season Lucinda Childs created one of the leads in her Händel/Corelli for him. In December 2001 he danced Jean de Brienne in Raymonda Balanchine's Brahms-Schönberg Quartett as well a created role in Jacopo Godani’s After Dark. With the beginning of the 2002/2003 season, he was appointed First Soloist and in 2003/2004 he was appointed Principal.
In May 2003, he received the Prix Benois in the category best male dancer.
In 2002/2003 he danced Basilio in Don Quijote (Ray Barra), Lenski in Onegin (John Cranko), After Dark (Jacopo Godani), Lysander in A Midsummer Night's Dream (John Neumeier) und Solo in Jupiter-Sinfonie (John Neumeier).
With the end of the season 2015/2016, Lukáš Slavický has left the Bayerisches Staatsballett.
Günther in The Nutcracker (J. Neumeier,)
Prince Désiré and Blue Bird in Sleeping Beauty (M. Petipa/I. Liška)
Bridegroom in Svadebka (J. Kylián)
Apartment (M. Ek)
Brahms-Schönberg-Quartett (G. Balanchine) the second detail (W. Forsythe)
Limb's Theorem (W. Forsythe)
Agon (G. Balanchine)
Five Tangos (H. van Manen)
Solo (H. van Manen)
Ricercare (I. Liška), creation for the Terpsichore-Gala V
Octavian in The Silver Rose (G. Muphy), creation
Century Rolls (D. Bombana)
My Way (S. Toss)
Konrad in Le Corsaire (M. Petipa/I.Liška)
Ferdinand in The Tempest (J. Mannes), creation
Große Fuge (H. van Manen)
Aus Holbergs Zeit (J. Cranko)
Adagio Hammerklavier (H. van Manen)
Benvolio in Romeo and Juliet (J. Cranko)
Mercutio in Romeo und Juliet (J. Cranko)
The golden slave in Shéhérazade (M.Fokine)
Armand and Gaston Rieux in The Lady of the Camellias (J. Neumeier)
Zugvögel (J. Kylián), creation
Hilarion in Giselle - Mats Ek (M. Ek)
Man 2 in My Ravel: Whichever Way he Looks... (J. Mannes), creation
Petrucchio in The Taming of the Shrew (J. Cranko)
Count Alexander in Illusions - like Swan Lake (J. Neumeier)
Basilio in Don Quijote (R. Barra after M. Petipa/A. Gorski, tradition)
Voices of Spring (F. Ashton)
The Eternal in Song of the Earth (K. MacMillan)
1st Pas de deux in Goldberg-Variations (J. Robbins)
Gods and Dogs (J. Kylián)
Colas in La Fille mal gardée (F. Ashton)
Solor in La Bayadère (M. Petipa/P. Bart)
1st Solo-Boy in Choreartium (L. Massine)
The Moor's friend in The Moor's Pavane (J. Limón)
Prometheus in Heroes (T. Kohler), creation
The King in Illusions - like Swan Lake (J. Neumeier)
Concert for Violin and Orchestra (A. Barton), creation