Preheat the oven to 425°F. In a mixing bowl, combine the flour, baking soda, and salt. Stir together. Add the chopped fresh herbs along with the shredded cheese. Add the buttermilk and stir until combined.
Turn the dough out onto a lightly floured counter. Bring the dough together and knead lightly just a couple of times to make a smooth ball. Do not over knead the dough or it may not rise properly. Shape into a ball and pat out into a 7-inch circle.
Lightly flour a baking sheet. Transfer the dough to the baking sheet and dust the top with more flour. Use a sharp knife to score a cross into the top of the dough, cutting about 1/2 inch deep.
Bake the bread for 15 minutes and then reduce the heat to 375°. Continue baking for another 30 to 35 minutes until fully baked. The bread will sound hollow when knocked on the bottom.
After baking, wrap the soda bread in a tea towel to cool. The steam will help to soften the outside crust of the bread. Enjoy!