Bring 3 quarts of salted water to a rolling boil in a large pot.
Blanch the carrot batons in the boiling water for 3 minutes.
Add the trimmed green beans to the pot and continue boiling for an additional 4 minutes until both vegetables are tender-crisp.
Drain the vegetables immediately and shock in an ice bath to halt the cooking process, then drain again and pat dry.
In a large skillet over medium heat, melt the butter until foaming.
Whisk in the honey, salt, and pepper until a homogenous syrup forms.
Add the blanched vegetables to the skillet and increase heat to medium-high.
Toss the vegetables continuously for 3 to 4 minutes until the glaze reduces and provides a glossy, even coating.
Remove from heat, stir in the lemon juice to balance the acidity, and serve immediately.