Add the basil leaves, lemon juice, lemon zest, vinegar, honey, garlic, and salt to your food processor. Pulse everything around 15 to 20 times until the basil is finely chopped and the mixture looks mostly smooth. You're not aiming for a puree just yet, just a well-combined base.
With the processor running, slowly drizzle in the olive oil in a thin, steady stream. This slow pour helps the dressing emulsify properly instead of separating. Keep blending until the color turns a gorgeous bright green and the texture looks silky.
Give the dressing a quick taste before you call it done. If it feels too sharp, add a touch more honey; if it feels flat, a pinch more salt or an extra squeeze of lemon usually fixes it. This is the step most people skip, and it makes a real difference.
You can use the dressing immediately at room temperature, or transfer it to a jar and pop it in the fridge for 15 to 20 minutes if you prefer it slightly cooler. Give it a good shake before serving since natural separation is completely normal.