The EUTC was founded in 1871 as the Edinburgh University Amateur Dramatic Club and adopted its current name in the 1970s.

[2] The EUTC is responsible (through a Committee elected at the company's AGM[3]) for most aspects the theatre's administration and produces the vast majority of its shows.

[5] The EUTC runs the Bedlam Youth Project aims to introduce children to the various disciplines of theatre.

In 2016, children were involved in a week long Easter camp at Bedlam Theatre, where they devised and performed their interpretation of The Jungle Book, with the assistance of the Youth Project Team.

It is run by a Fringe Venue Manager, who for historical and liaison reasons is technically a member of the termtime EUTC Committee.

[5] The EUTC usually has two slots allocated to it; one is traditionally taken up by The Improverts (though they must be democratically selected like all other Fringe proposals), and the other by a theatrical production.