A snow goggle structure having a strap is disclosed herein. It comprises a main body having two securing holes on two sides thereof, two fixed stands assembled to the two securing holes and each having an assembly hole, two connecting elements each having a connecting rod, an assembly part for inserting into the assembly hole of each of the two fixed stands, and an active casing; and two moving elements each having a slot, an axial part in the slot for pivotally connecting the active casing connected to the connecting rod, and a connecting part on a side surface thereof for connecting one end of a strap for fixation.