Glennis \g-lennis, gl(en)-nis\ as a girl's name is a variant of Glenys (Welsh) and Glynis (Welsh), and the meaning of Glennis is "holy".

The baby name Glennis sounds like Glennys, Glenis, Glynnis and Glinnis. Other similar baby names are Glennie, Glennda, Glenna, Glenne, Glenn and Glennice.