Edward Priaulx Tennant, 1st Baron Glenconner, known as Sir Edward Tennant, 2nd Baronet, from 1906 to 1911, was a Scottish businessman and Liberal politician. In 1911 he was raised to the peerage as Baron Glenconner.

Baron Glenconner, of The Glen in the County of Peebles, is a title in the Peerage of the United Kingdom. It was created in 1911 for Sir Edward Tennant, 2nd Baronet, who had earlier represented Salisbury in the House of Commons as a Liberal and also served as Lord Lieutenant of Peeblesshire. Lord Glenconner was succeeded by his second son, the second baron. The latter was succeeded in 1983 by his eldest son, the third baron, who bought the island of Mustique. As of 2014, the titles are held by the third baron's grandson, the fourth baron, who became the next-to-youngest peer in the realm when he succeeded in August 2010.