Why does my punch script miss half of the time?

--server script 1 
function game.ReplicatedStorage.Punching:OnServerInvoke(player)
local damage = script.Dmg:Clone()
	damage.Disabled = false
	damage.Parent = player.Character.LeftHand 
	wait(0.3)
	damage:Destroy()
	end

--Actual script that does damage 
local LHand = script.Parent
	local hurt = script.DMG
		LHand.Touched:connect(function(Part)
if Part.Parent:FindFirstChild("Humanoid") then
		local Human = Part.Parent:FindFirstChild("Humanoid")
Human.Health = Human.Health - hurt.Value
end
		end)

Basically half of the time it works and damages the other player. Half of the time it does not. I think this is either a script issue or animation issue. The animation punch's around where your neck would be, so if it did hit it would hit your head, upper torso, or part of your arm.