Noun. 1. tarsal gland-a long sebaceous gland that lubricates the eyelids; bacterial infection of a Meibomian gland produces a stye. Meibomian gland. glandulae sebaceae, sebaceous follicle, sebaceous gland-a cutaneous gland that secretes sebum (usually into a hair follicle) for lubricating hair and skin. 1  Facebook.