The present invention relates to a metal interconnect structure containing no barrier metal and a method of manufacturing the metal interconnect structure. The method includes: filling at least a first interconnect trench with an intermetallic compound by depositing the intermetallic compound on an insulating layer having the first interconnect trench and a second interconnect trench formed in the insulating layer, the second interconnect trench being wider than the first interconnect trench; performing a planarization process of polishing the intermetallic compound until the insulating layer is exposed; and then performing a height adjustment process of polishing the intermetallic compound and the insulating layer until a height of the intermetallic compound in the first interconnect trench reaches a predetermined height.