Preheat oven to 350F/180°C. Line a baking sheet with parchment paper or silicone baking mat.
Using a hand mixer or stand mixer fitted with paddle attachment, cream together butter, granulated sugar, and brown sugar until well combined. Add eggs and vanilla extract and mix until combined.
In a separate bowl, toss all-purpose flour, matcha powder, baking soda, and salt together. Add dry ingredients to wet ingredients and mix until incorporated.
Stir in chocolate chunks and chopped almonds with a spatula.
Roll 12 balls of dough and place on the prepared baking sheets.
Bake for 10-12 minutes, or until the edges are nicely browned. Cool for 5 minutes on the pan before removing to wire racks to cool completely.