kal.a
since you are learning, consider this:
"H-Bridge" implies you are driving a DC motor. Motors are tricky, because the current required to start them is three to ten times higher than what they require to keep running once up to speed. This makes it difficult to size a power supply and fusing. If the motor is rated at 12Vdc@0.2A, then likely it requires a 1 to 2A power supply (and fuse) to start it...
Also, the starting (in-rush) current effects the design of the H-Bridge. The inrush might last a good fraction of a second, so the transistors in the H-Bridge must be sized for the inrush current, not just the running current.
Finally, if you are newbie with H-Bridges, the most likely problem you will encounter is "shoot-through", where both the upper and lower transistor on one side of the Bridge are turned on at the same time (inadvertently, as this should never happen if the H-Bridge is properly designed).
If this happens, there is a huge current spike while both transistors are turned on, which can blow up the transistors, or the power supply. This can happen because the base/gate drive to the upper/lower transistors in the H-Bridge overlap. Post the schematic of your H-Bridge so that we can look to see if this is your problem.