The present invention is to provide a lid structure including a lid having a bottom side provided with an opening and concavely provided with an assembly space corresponding in position to the opening and having a first threaded connection portion protrudingly provided on an inner wall of the lid and extending toward the opening; a gasket fitted around the outer periphery of the first threaded connection portion and protrudingly provided with a pulling tab which extends toward the opening; and a filter having a second threaded connection portion provided on a top side thereof and threadedly engageable with the first threaded connection portion. Thus, when it is desired to clean the lid, the user only has to rotate the filter to easily detach the filter from the lid and pull the pulling tab to rapidly remove the gasket from the lid for cleaning, without using any tool.