for some reason if the health is 0 it wont move? Help Please?

Your code is only checking the health once. The script reads what you've written up to tree.Touched:connect... once and then just listens for the tree being touched, every time the tree is touched the code in that funciton runs. So just have the script check the health everytime the tree is touched :)

local tree = script.Parent
local health = 10

tree.Touched:connect(function(hit) --when the tree is touched...

    if hit.Name == "Blade" then --if hit by a blade then...
            health = health - 1 --take 1HP
            print("Player Has Cut Tree")
        if health == 0 then --check if the HP has reached 0
            tree.Position = CFrame.new(tree.Position) + Vector3.new(-52.751, 50.888, -54.404)) 
        else print(health) --prints the curent HP of the tree
        end
    end

end)

Hopefully that is clear and works alright... :) Best of luck, let me know if this helped!

OK what your doing wrong is it will only check once if the health is 0. At the beginning it's 10. What you have to do is this:

local tree = script.Parent
local health = 10
while true do
    if health == 0 then
            tree.Position = Vector3.new(-52.751, 50.888, -54.404)
    end
    wait()
end
tree.Touched:connect(function(hit)
    if hit.Name == "Blade" then
        health = health - 1
        print("Player Has Cut Tree")
  end
end)

You've done 3 things wrong 1 a debouncer 2 detecting if the health is still 0 when touched 3rd you should have a Detector for when the health reaches 0

local tree = script.Parent
local health = 10

local Debounce = true

game:GetService("RunService").Heartbeat:Connect(function()
if health == 0 then
    tree.Position = Vector3.new(-52.751, 50.888, -54.404)
end
end)

tree.Touched:connect(function(hit)
if Debounce == false then return end
    if hit.Name == "Blade and health >0" then
Debounce = false
        health = health - 1
wait(0) ---Change time if want the wait to chop it again to be longer
Debounce = true
 end
end)