Pat swordfish steaks dry with paper towels. Season both sides of each steak with salt and pepper
Heat olive oil over medium-high heat in a cast-iron skillet until very hot. Add swordfish steaks and sear for five minutes. Flip and sear the other side for another 3 to 7 minutes, or until fish is cooked through. The steak should feel firm when you press it.
Remove the swordfish from the pan and let it rest for a few minutes.
In a saucepan, melt the butter and add the lemon juice.
Transfer the swordfish to serving plates and spoon the lemon butter sauce over the swordfish steaks.
Season to taste with any additional salt, pepper, butter, and/or lemon.