The priest, along with other Hindu holy men, complained to police, who filed charges against the couple. The court in Pushkar gave its verdict Tuesday.
The Asian Age newspaper said Hindu priests were outraged.
"We will not tolerate any cultural pollution of this sort," Ladoo Ram Sharma, president of an organization of Hindu priests in Pushkar, said.
Pushkar has a famous temple dedicated to Brahma and is popular with foreign tourists who come for its desert ambience, camel safaris and annual camel fair.
India has tough obscenity laws and kissing in public is frowned upon in the largely conservative country. Last October, local residents in the western state complained to authorities that a group of Israeli women had danced naked near Pushkar.