Uspensky was born in Yegoryevsk, in Moscow Oblast into a Russian family. His father Nikolai Mikhailovich Uspensky came from the city ofYelets and was a distant relative of Tikhon Khrennikov. He served as a high-ranking official in the Central Committee of the Communist Party of the Soviet Union. Eduard's mother Natalia Alexeevna Uspenskaya was an engineering technologist from Vyshny Volochyok. She came from a merchantry social estate. Her paternal ancestors were Poles who were resettled in Russia after one of the Polish uprisings. In 1941 with the start of the war the family was evacuated to Siberia where they spent two years. They returned to Moscow later on. After graduating as an engineer, Uspensky earned his living by writing and producing animations. Besides writing and producing, Uspensky has enjoyed a professional role as a long-lasting figure in radio and television. He was among the founders of the longest-running Russian children's TV showGood Night, Little Ones! and the popular radio programmeRadio Nanny produced with the aim of featuring songs and humorous dialogue as integral elements of an educational radio programme explaining concepts in grammar, mathematics, scientific subjects, and courteous behaviour to children. From 1991 to 2016 he hosted the musical TV and radio talk showShips Used to Enter Our Harbour where he and his guests recollected the so-called street folklore, which included Russian chanson and blatnaya pesnya. The songs were performed by both professional and amateur singers, politicians, actors and people of various occupations. In addition to children's books, Uspensky's creative output also includes plays and poems.
Uspensky's first book about Uncle Fyodor, Uncle Fyodor, His Dog and His Cat, was first published in Russian in 1974. The main character is a six-year-old boy who is referred to as 'Uncle Fyodor' because he appears serious-minded, self-reliant and responsible. After his parents don't let him keep Matroskin, a talking cat, Uncle Fyodor leaves his home. With the dog Sharik, the three set up a home in the country, a village called Prostokvashino. After finding a treasure, Uncle Fyodor can afford to buy a tractor that runs on soup and potatoes, and a portable sun to do the heating during the winter. The book was made into a successful animated film, Three from Prostokvashino. Uspensky continued with Uncle Fyodor in other books, which have not, however, been as successful. Uspensky published other books with human-like animal characters.