The history of the collective's creation goes back to the 60s of the XX century. At the turn of the 1960s-1970s, youth and student bands were gaining popularity in the USSR, imitating in their work, as a rule, the British The Beatles and other legendary musicians who played in the genre of rock.

Following this trend, in 1968 in Moscow, students of school № 19 with advanced study of English created a group of four high school students: Andrei Makarevich, Mikhail Yashin, Larisa Kashperko and Nina Baranova. The girls sang, and the guys accompanied them on guitars.
In 1969, the first lineup of "Time Machine" was organized, which included Andrei Makarevich, Yuri Borzov, Igor Mazaev, Pavel Rubin, Alexander Ivanov and Sergei Kavagoe. The author of the name of the group, which then sounded Time Machines, was Borzov, and Sergei initiated the creation of an exclusively male band - so the permanent vocalist was Andrei, nicknamed Makar.

According to the guys, the appearance of Kavagoe in the composition of the Time Machine helped them to succeed. Sergey, whose parents lived in Japan, had real electric guitars, which were considered scarce at that time in the Soviet Union, and even a small amplifier. So the sound of the songs of the project favorably differed from the work of other musical groups.
In the male group began to arise conflicts related to the choice of repertoire: Sergei and Yuri wanted to play "Beatles", but Makarevich insisted on the choice of compositions of less famous authors. Andrei argued that they would not be able to sing better than the Liverpool Four anyway, and Mashina Vremeni would look pale.

As a result of the dispute, the band split: Borzov, Kavagoe and Mazaev left the project and started to work under the name "Durapon Steamers", but they did not succeed, so they returned to Mashina Vremeni.

As a result, three members of Mashina Vremeni remained in the band: lead singer Andrei Makarevich, bassist Alexander Kutikov and drummer Valery Efremov, who are supplemented by session musicians.