A door latch apparatus for a vehicle may include an open lever and a release lever rotatably coupled to a base plate, an interlocking lever rotatably coupled to the base plate and having a pushing protrusion, an operating lever provided on the base plate wherein the operating lever includes a second slot formed in a medial portion of the operating lever, and a locking protrusion formed on a lower end of the operating lever and being engaged in a first slot of the release lever, wherein when the release lever rotates, the locking protrusion pushes and rotates the open lever, thus releasing the door, and an inertia lever rotatably coupled to the base plate by a rotating shaft and including an insert protrusion formed on an end of the inertia lever and being engaged to the second slot.