It looks like your tension isn't equal, the strings are pulling more than the springs. It's easy to have this happen if you're not familiar with the basics of tuning a guitar with a floating bridge. You'll have to increase your spring tension and retune. And keep doing this until the bridge is a almost level with the body and is still floating. It's an irritating thing to learn but once you are familiar it's easy.
If you're using 2 springs you may have to add one because you might run out of adjustment in the rear cavity where the screws are to increase the tension. And keep in mind while tuning in the future, Every time you tune a string, the others are changing because you're changing the tension balance across all strings.
If the bridge is supposed to dive only, not float at all, and rest on the body... All you need to do is increase your spring tension enough to keep the bridge against the body. Then tune, if it starts to float again increase the tension until it takes only a little pressure on the trem bar to dive once the guitar is in tune.
But if your bridge is rising without you doing anything at all... That sounds pretty weird... And my best guess would be, it's time for new trem springs.