The silver medal went to Italian shooter Erica Sessa and Russia's Natalia Chestova got the bronze.
Italy's Erica shot 65/75, the highest in the semifinals. Natalia scored 60/75 while Kirti shot 58/75 clays.
In the finals, Kirti shot 14 to win the gold medal while Erica and Natalia scored 12 and 10 for silver and bronze medals, respectively.
The Indian team comprising Kirti, Bhopal's Manisha Keer and Pragat Dubey won the gold medal in the trap shooting event, while the silver medal went to Germany's shooting team.