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When you deadlift off a box you force yourself to begin the lift from a much lower position. This significantly increases glute recruitment but reduces the overall weight you can pull. As such these variations are best suited for building explosiveness using lighter weights.
The principles of deadlifting from a box are the same as the regular barbell deadlift except you start with a much greater degree of knee bend. To allow for this it is a good idea to really focus on contracting your glutes forcefully right from the beginning. I must warn you though, you will probably wake up feeling very sore.
Some good alternatives to deadlifts off a box are:
The deadlift of the box is indeed a good vertical jump exercise but if you really want to build strength and power fast than you need to check out our one of a kind vertical jump training book Game Changers. This book describes vertical jump training exercises and methods that produce results far and above regular jump training exercises like this one. Check it out by clicking the link below.