Kremer was born in Riga to parents of German-Jewish origin, his father being a Holocaust survivor. He began playing the violin at the age of four, receiving instruction from his father and his grandfather, who were both professional violinists. He went on to study at the Riga School of Music and with David Oistrakh at the Moscow Conservatory. In 1967, he won third prize at the Queen Elisabeth Music Competition in Brussels; then, in 1969, second prize at the Montreal International Violin Competition (shared with Oleh Krysa) followed by first prize at the Paganini Competition in Genoa; and finally first prize again in 1970 at the International Tchaikovsky Competition in Moscow.
Gidon 他生於拉拖維雅，是為很厲害的小提琴家。曾經贏得 許多國際大獎 像柴可夫斯基，帕格尼尼大賽的冠軍，可以說是實力堅定
Kremer's first concert in the West was in Germany in 1975, followed by appearances at the Salzburg Festival in 1976 and in New York City in 1977. In 1981, Kremer founded a chamber music festival in Lockenhaus, Austria, with a focus on new and unconventional programming; since 1992 the festival has been known as "Kremerata Musica" and in 1996 Kremer founded the Kremerata Baltica chamber orchestra, composed of young players from the Baltic region. He was also among the artistic directors of the festival "Art Projekt 92" in Munich and is director of the Musiksommer Gstaad festival in Switzerland.
他第一場西方的演奏會是在德國1975年代，紐約1977 .1996年 他創立了有名的克來曼樂團
Kremer is known for his wide-ranging repertoire, extending from Antonio Vivaldi and J.S. Bach to contemporary composers. He has championed the work of composers such as Ástor Piazzolla, George Enescu, Philip Glass, Alfred Schnittke, Leonid Desyatnikov, Alexander Raskatov, Alexander Voustin, Lera Auerbach, Peteris Vasks, Arvo Pärt, Roberto Carnevale and John Adams. Among the many composers who have dedicated works to him are Sofia Gubaidulina (Offertorium) and Luigi Nono (La lontananza nostalgica utopica futura). His partners in performance include Valery Afanassiev, Martha Argerich, Oleg Maisenberg, Mischa Maisky, Yuri Bashmet and Vadim Sakharov. He has a large discography on the Deutsche Grammophon label, for which he has recorded since 1978; he has also recorded for Philips Records, as well as Decca Records, ECM and Nonesuch Records.他演奏的範圍 非常的廣闊 從古早的巴哈，到皮也左拉 ，許尼特克 的二十世紀音樂 也都難不了他
Kremer has numbered in his collection of antique violins a Guarneri del Gesù violin made in 1730; and the Antonio Stradivari violin of 1734 often referred to by its sobriquet, Baron Feititsch-Heermann. His current violin is a Nicolo Amati violin dating from 1641.
他所用的是非常好的名琴 一把在1730 年製造 另一把在1734 我想這每把沒有幾百萬美金是跑不掉的