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I have a 2004 CR-V EX-L and which I purchased a couple of months ago and a trim keep falling off as it is missing some fasteners and to find those type of fasteners I need to know what that trim is called in the first place.
It is the black trim that goes under under both driver and passenger doors and almost like 90 degree shaped. So it has fasteners to clip into square holes right under the doors and fasteners to clip it on the under side.
It is not the door sill but below that.
You're probably referring to the lower front door garnish assembly. There are two different clips used.
Search under Interior / Bumper > Protector - Side Sill Garnish at Honda online dealers like Bernardi Honda Parts, Majestic, etc. or Honda e-store. Honda e-store also allows for local dealer pick-up.