"[2] Its members are "world famous for their harmonic precision" per New York Times music critic Robert Sherman.

The Glee Club's director generally holds a faculty position in the Yale School of Music as the Marshall Bartholomew Professor of Choral Conducting.

Several alumni of the group have gone on to professional careers in music, including Charles Ives, Douglas Moore, Cole Porter, John Stewart and Marshall Bartholomew, both of whom returned to Yale to conduct the Glee Club.

The Glee Club works with New Haven high school students each year as part of an annual choral festival.

Both competitions were inaugurated in the fall of 2005 with the world premieres of Laus Trinitati by Jocelyn Hagen and A Modern Toast to Yale by Zachary Sandler.

He created arrangements of many spirituals and folk songs, many published by the G. Schirmer company as the "Yale Glee Club Series."

David Connell continued the tradition of arranging pieces for the group, including madrigals and sea chanteys.

Under his direction, the Glee Club has appeared in performances guest conducted by David Willcocks, Krzysztof Penderecki, Sir Neville Marriner, and Helmuth Rilling.