This fresh blackberry margarita recipe definitely does not disappoint. Made with just 4 simple ingredients, this blackberry margarita is great on-the-rocks or frozen. A margarita is a classic tequila-based cocktail made with lime juice and Cointreau. This blackberry margarita recipe is flavored with fresh, muddled blackberries. This margarita recipe can be made either frozen/blended or on-the-rocks.