This is one of those vocabulary questions, which I think is different from school-to-school, depending on your lineage and how you teach. (Maybe in ITF or ATA these are more standardized). At my school, all of the following are axe kicks. How does this compare to your school, and what you teach? Stretching kick, swing straight up and down to increase range of motion Straight axe kick, which is either very similar to the stretching kick (but with more downward force), or is done like a high front kick over the target and brought down with force Outside axe kick, where your leg is brought up to the outside, and then straight down. Like the straight axe kick, it can be chambered with a swung leg or a snap motion. Inside axe kick, the inside version of the outside axe kick. Outside-Inside crescent kick, at our school we call this the "outside-inside axe kick." (Personally, I would prefer to call it a crescent kick). I kind of understand where my Master is coming from, because he wants us to do it like an axe kick with a bit of a pivot, so we use the ball of our foot instead of the ridge of our foot. He says we can deliver more power that way, and it's safer on your knee. As with the last several, I've done this with a chambered motion or a swung motion. Inside-Outside crescent kick, using the blade of the foot. Now, some people separate stretch kick, axe kick, and crescent kick. I've seen some combine stretch kick and axe kick, but then separate crescent kick out. I haven't seen many who lump crescent kick in other than mine. Which of these are "axe kicks" to you? Which are not?