Having trouble controlling 3 Row Seven Segment with 4 shift register 74hc595

zifank:
yes, the display flickering when connect to Adapter 9V.

Yes, you must use a regulated 5V supply with the display. I think you were very lucky that the display was not permanently damaged by connecting it to a 9V supply. 9V exceeds the safe limit for the chips and leds on the display.