I think there is a difference between British and American English. As a speaker of British English the second sounds much more natural with the adverb "recently". In British English, "Have you had a vacation recently/yet/this year" all work, whereas "Did you have a vacation" uses the simple past and is better suited to a narrative about the past e.g. "When you were in America, did you have a vacation in summer or in winter?"

1st one is more natural

Hi, Bhuvan Thank you very much for your quick response. I agree with you what the first sentence is natural. The grammar book 'Grammar in use' I use explained the 2nd is correct. So, I had confused a little. Anyway, I think so the 1st one is more natural than 2nd. Thank you again.