He retreated from professional opera and concert life at the age of 65.
He continued to work in the field as a conductor and teacher until his health problems became too great. In his later years, he suffered from back problems and was a diabetic.
Schreier was born in Meissen, near Dresden, and began singing in the boys' choir of the Kreuzkirche in Dresden at the age of 8.
He later studied singing and conducting in Dresden and had his first opera performance in 1959.
Later in his career, he gave guest performances around the world, from New York City to Milan.
The Decca Classics international music label said on Twitter that Schreier would be missed and praised the "outstanding tenor" for his repertoire ranging from Bach to Stravinsky.
Michael Kretschmer, premier of the German state of Saxony, of which Dresden is the capital, said that Schreier was admired for his love for his home city as much as for his famous performances.
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