Place honey, thyme and water in a saucepan and heat over medium heat. Do not let the mixture boil!! Once honey and water are well combined remove from heat and set aside to cool. About 5 minutes.
Pour mixture through a fine sieve. Discard the thyme. Chill mixture until ready to serve.
Combine vodka, lemon juice and simple syrup in a large pitcher. Stir well. Pour into 4 glasses filled with ice and garnish with thyme sprigs. Makes 4 cocktails.