Martin Kilvády was born in 1974 in Banska Bystrica, Slovakia, where he graduated from secondary school. Subsequently, he enrolled in a program for teacher education in contemporary dance at the Comenius University in Bratislava, the School of Music and Dramatic Arts where he received his "Master of Arts".
Choreographers and teachers who most influenced his further development as a dancer, are Jan Durovcik, Miroslava Kovarova and Libor Vaculik. From 1992 to 1996, he was a member of the Torzo Ballet Company in Bratislava and performed as a free lancer in several productions of the Slovak National Theatre from 1995 to 1996. In 1997 he joined the Magyar Fesztival Ballet in Budapest for one season.
During the summer of 1997 he became a member of Anne Teresa de Keersmaeker's Rosas Dance Company in Brussels. He danced in "Would", in the reprise of "Mikrocosmos" and "Achterland", and contributed to the creation of "Just Before", "Drumming", "I Said", and "In real time". During these years with Rosas, the teachings of David Zambrano and Chrysa Parkinson widened his dance horizons.
Between 2001 and 2004, he collaborated with choreographer Roberto Olivan in the creation of "Natural Strange Days" and "De Farra". In the season 2002-2003, he worked with circus company Rital Brocante. Since 2003, he has been a member of Thomas Hauert's company ZOO, performing in "Five", "Modify", "More less said songs", "Walking Oscar", "Puzzled" and "Accords".
Martin started to teach dance classes in 1991 and since 2001 has been preparing training programmes for dance companies such as Rosas, Ultima Vez, and Charleroi Danse, guiding workshops at the schools of P.A.R.T.S, at DCJ – Dans Centrum Jette (Belgium), CDC Toulouse, and at ImPulsTanz Festival Vienna. He teaches regularly at Terpsichore, Centrum voor Dans en Beweging (Belgium).
Martin Kilvády is co-founder of Les SlovaKs Dance Collective. They created "Opening Night" (2007), "Journey Home" (2009), "Les SlovaKs - The Koncert" (2010) and in "Fragments" (2012).