If you’re married to a U.S. citizen, you could still apply for the Diversity Visa lottery. However, there’s little advantage to doing so, since you will almost always be able to come to the United States sooner by applying for a marriage-based green card instead. If you have another family member who could sponsor your green card, it might still be worthwhile to apply for the Diversity Visa lottery. Some family-based immigration categories—for example, siblings of U.S. citizens—take a very long time, and you would be able to come to the United States much sooner if you won the Diversity Visa lottery.