Power Supply for LED Array
I want to know what kind of supply is needed for this? Constant
  current?


Well, your MOSFET has a 5R6 source resistor that will self regulate the current at about 125 mA so clearly a constant current supply isn't needed but, if as you say you designed this then why are you asking?

You might alo add a resistor in series with the GPIO line so that the BJTs that form part of the current regulation don't overstress the GPIO line if they conduct down to ground when current limiting.

You might also want to check what the gate threshold voltage is for those MOSFETs to make sure they can be activated with the limited voltage drive from your GPIO lines.