Preheat your grill for high heat (about 400-450°F).
Meanwhile: wash the asparagus and trim the bottoms. I usually count 3 to 4 spears per person, but also some to taste as they come out of the grill.
Put them on a plate. Drizzle with olive oil. Not too much, you want them coated, not dripping.
Sprinkle the asparagus with kosher salt. Toss to coat.
Grill your asparagus about 2 minutes each side, until they are slightly charred. You want to cook them just enough to warm them up and give them some nice grilled marks, but leave a nice crunch. If you prefer your asparagus softer you can cook until your desired tenderness is reached.