Grigory Leps was born Grigory Lepsveridze in the city of Sochi, Russian SFSR, Soviet Union in an ethnically Georgian family. He finished music school in the class of Percussion instrument. After the army he started to play and sing in a few rock bands, and worked as a singer in restaurants.[7]
He suffered from alcoholism and drug addiction, and to get far from that life he went to Moscow. There he started singing in restaurants, until he received a record deal, and in 1995 he released the album May God Keep You (Khrani vas Bog). The song "Natali" became a hit, but he didn't know that because he was hospitalized for drugs and alcoholism. The doctors told him that one more drop of any of the drugs could kill him.[2][7][8] In 1997, he released his second album, A Whole Life (Tselaya zhizn), which had a few hits including "Chizhik", "Gololed", "A whole life".[8]
In 2000, he released the album Thank You People, with the hits "Shelest" and "Nu i chto". At that album was seen the change in Leps's style, with him completely leaving the Shanson and moving to rock music.[2] In 2002, he released the album On Strings of Rain (Na strunakh dozhdya), with a hit "Rumka vodki na stole".[2][8]
In 2004, he released a cover album of songs written by Vladimir Vysotsky in rock versions, Parus. The song "Parus" had a video clip and the album took top places at the selling charts.[9] The second part of the album, Vtoroy was released in 2007 with its presentation concert being held in the Kremlin hall.[8][10] In 2005, he released a compilation album called Izbranoye... 10 let.
In 2006, he released two albums, both reaching high success. Labirint, with the hits Labirint and Vyuga,[11] and the album V tsentre zemli, with the hit Zamerzayet Solntse. The premier concert for the V tsentre zemli album took place in the Luzhniki Stadium.[1] In 2007, he released two compilations. I'm Alive (Ya zhivoy, videoclips), and All My Life – a Road (Vsya moya zhizn – doroga, best songs).[2] In 2009, about the presentation of the album, "Waterfall ".
On 18 March 2022, Leps sang at Vladimir Putin's Moscow rally celebrating the annexation of Crimea by the Russian Federation from Ukraine and justifying the 2022 Russian invasion of Ukraine.[12] The Presidential Administration of Russia put him on the list of singers who were recommended to be invited to state-sponsored events.[13]
On 22 February 2023, Leps sang at Vladimir Putin's 2023 Moscow rally.
In June 2023, Leps' concert in the Almaty Region of Kazakhstan was canceled following pressure from the Kazakh public and activists over his support for the Russian invasion of Ukraine. In 2023, Kazakhstan and Uzbekistan canceled a music festival where pro-Kremlin Russian singers, including Leps, were scheduled to perform.[14]