Alexei Baklan was born in 1961 in Kiev (Ukraine) in a family of famous ballet soloists of the Kiev Opera and Ballet Theatre. In 1987 graduated from the Kiev State Conservatory, where studied symphonic conducting with the outstanding Ukrainian conductor Stefan Turchak.
Since 1987 he has been a permanent conductor of the National Opera of Ukraine in Kyiv. In parallel, from 1995 until 2008, he was the chief conductor, and from 2008 to 2012, the artistic director of the Kiev Municipal Opera and Ballet Theater for Children and Youth.
His international collaborations include Maribor Theater, Slovenia (1999–2015), Chamber West Ballet in Tokyo (2004–2006), National Dance Company in Mexico City (2005–2012), Zagreb Opera and Ballet Theater (2006–2008), New National Theater in Tokyo (since 2008), Angell Corella Ballet in Spain (2010–2012), Opera Carlo Felice in Genova, Teatro Massimo in Palermo, Teatro San Carlo in Naples, and Teatro dell'Opera di Roma (since 2010), Asami Maki Ballet in Tokyo (2013–2018), Les Grand Ballet Canadiens de Montreal (2013–2015), Polish National Opera (since 2014), Norwegian Opera and Ballet in Oslo (since 2023), and Royal Swedish Opera in Stockholm (since 2023).
In 2003, 2006, and 2010 he conducted the Ballettissimo gala concerts in Mexico City. In 2017 he performed at the Japan Arts 40th Anniversary Ballet Gala with world ballet stars.
In 2009 he was awarded the title of People’s Artist of Ukraine.