Glenna is a feminine given name. Notable people with the name include:
Glenna Avila, American artist Glenna Cabello (born 1959), Venezuelan political scientist Glenna Collett-Vare (1903–1989), American amateur golfer Glenna Gallo, American educator Glenna Goodacre, (1939–2020), American sculptor Glenna Gordon (born 1981), American photojournalist Glenna Hansen (born 1956), Inuvialuit Canadian politician G. Kathleen Hill (born 1964), American diplomat Glenna Matoush (born 1946), Canadian visual artist Glenna Matthews, American historian Glenna Smith Tinnin (1877–1945), American suffragist Glenna Sue Kidd (1933–2017), American pitcher and infielder