How would I teleport players without killing them?

So far, I have this:

game.Workspace.PLAYER1NAMEHERE.Torso.Position = game.Workspace.PLAYER2NAMEHERE.Torso.Position

But when I tested it, Player 1 died, but his torso successfully teleported to Player 2. I thought that the Torso would come with the body, but obviously that failed.

Any ideas?

Instead of using position, try using CFrame

game.Players.Player1.Character.Torso.CFrame = CFrame.new(1,1,1)

game.Workspace.PLAYER1NAMEHERE.Torso.CFrame = game.Workspace.PLAYER2NAMEHERE.Torso.CFrame

Just a simple edit, CFrame works, position doesn't.