Speaking ahead of the second IYD celebrations, he said that his ministry would consider such a demand and request Prime Minister Narendra Modi in the interest of promoting a practice with multiple benefits to the masses.
"It is not needed, nobody has demanded that. Last year, also no such demand came. But if the demand comes, I will request the Prime Minister to do so.
"Yoga's time is early morning. It will go on around 8 am. There is no need of a holiday but if there is a demand for that, we will request the government," Naik said during National Health Editors' Conference on the theme - 'Yoga for Holistic Health - Recent Researches' here.
He also dismissed the controversy related to chanting of Om during the event and it has not been made compulsory.
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"There is always some opposition whenever some good work is done. There is no opposition this year to it. We have not made it compulsory. Without OM, yoga cannot be complete. We have made those people who are opposing understand this and it seems they have understood," he said.
A fresh controversy had broke out recently over the UGC's directive asking universities and colleges to follow Ayush ministry's yoga protocol that begins with chanting of 'Om' and some Sanskrit sholakas during Yoga Day celebrations on June 21.
Asked about the controversy which had erupted over performing of 'Suryanamaskar asana, the minister said that this particular 'asana' had not been kept last year and this year, it will not be performed.
"The Surya namashkar asana, last year also we had not taken it. Its a complex exercise. It is difficult to do in 45 minutes and for people who are new to the exercise. Therefore we have not kept this one," Naik said.