Add the frozen mango, frozen pineapple, orange juice, Greek yogurt, lime juice, and honey into a high-speed blender.
Secure the lid and blend on high speed for 45 to 60 seconds until the mixture reaches a smooth, uniform consistency.
Stop the blender and check the thickness; if too thick, add a splash of orange juice and blend briefly.
Pour the smoothie into two chilled glasses and serve immediately.