An apparatus for fixing a saw blade and a knife plate of a saw grinding machine includes a driving device including an axis; and a fixture plate having a first end and a second end. The fixture plate includes a connective hole coupled to the driving device, and a coupled portion defined at the first end thereof. The saw blade is pivotally connected to the axis of the driving device, with the saw blade and the fixture plate moved with respect to the driving device simultaneously. The knife plate is coupled to the coupled portion of the fixture plate and includes a blocked side formed on a side thereof, with a vertical distance between the blocked side and the saw blade maintained to be fixed.