Generally the month of March considered as a wonderful month of travel, with fresh mornings and evenings, and mostly warm sunny days. It would be best and recommended to go to a hill station or beach holidays which will be cooler. 

Here is the list of most popular tourist places to visit in March. 

Ooty :- 

Ooty
(image coutesy:Zigg-E- flicker)

Blessed with natural beauty, Ooty has endowed with scenic beauty and sprawling lush tea farms. It is located in Udhagai district in the state of Tamil Nadu. The temperature in Ooty in March dwells in the range of 15 to 22 degree celecious. There are many trasportation facilty to reach Ooty, you can have many buses and car rental from Coimbatore, Cochin, Mysore, Bangalore and Chennai.

Munnar
 (image coutesy:Raj-flicker) 

Second one of the best and most beautiful hill station situated in the Idukki district in the state of Kerala. Munnar is also blessed with the amazing natural beauty, misty hills and growing tea plantations. It could be the best choice for relax and have a great family getaway.

Kodaikanal 
(image coutesy:Thangaraj Kumaravel-flicker) 

This picture perfect hill town in the southern Indian state of Tamil Nadu also referred as the "Princess of Hill Stations". It will be the best place where you can relax and get lost in the lush green surroundings. Kodaikanal Lake, Berijam Lake, Palani Hills are few must visit places in Kodaikanal.

To reach here Madurai is the nearest airport at a distance of 120 km and Palani railway station at 65 km away.

 Yumthang Valley
  (image coutesy:Joginder Pathak -flicker) 

It's a small state in northwest India situated in the Himalayas. The best time to visit Sikkim is March to June. A fresh cloudy morning, beautiful view of hills,the amazing richness of greenery and the scenic landscape wins every visitors heart and make it a must visit place during month of March.

Solophok Chardham, Yumthang Valley, Changu Lake, Rumtek Monastery, Nathu La, Lake Tsomgo are few popular places to visit in Sikkim.

Auli
(image coutesy:Anuj Kumar Garg -flicker)

Located in Chamoli district of Uttarakhand State, it is one of the famous skiing and trekking destination in India and January to March are best time for skiing. Auli is bestowed with abundant natural beauty and the spectacular mountain ranges, tranquil panoramic natural view makes this place ideal for you to visit in this summer.

Manali
(image coutesy:Saad Faruque -flicker)

Nestled in the lap of the Himalayas and surrounded by snow covered peaks,  various beauties of Nature and pristine white snow attracts thousands of tourist around the world every year. Manali a beautiful town situated in the Kullu district of state of Himachal Pradesh state is famous for trekking, paragliding, rafting and mountain sports. Along with these there are many tourist places in Manali which are must visit. 

Shillong
(image coutesy:Hrishikesh Sharma -flicker)

Located at the amidst sky touching hills Shillong is the capital city of the  Meghalaya state. It is also know as the "Scotland of the East" The lush green landscape, waterfalls, forests, valleys and pleasant weather makes this place a must visit in the month of March to June.

Abby Waterfall

(image coutesy:Aditya Patawari -flicker)

Known as the "Scotland of India" is located in the western ghats of Karnataka state. It is popular tourist getaway because of unique idyllic atmosphere, variety of coffee and tea plantations. Abbay Falls,Irupu Falls, Nagarhole national park, Raja’s Seat, Omkareshwara Temple Nisargadhama and Pushagiri are few must visit places in coorg.

 Prem Mandir

(image coutesy:Bhavishya Goel -flicker)

Located in Mathura district of Uttar Pradesh is a important Hindu pilgrimage place. It is considered that here Lord Krushna have spent his childhood days. As Vrindavan is renowened for the festival of Holi, it's recommended to visit and immerse yourself into the festival of colurs.

Mount Abu
(image coutesy:wikipedia.org)

Mount Abu is the only hill station in the Rajasthan state and has been great retreat for summer vacations. No doubt the senic beauty and rich flora makes you relax and rejuvenate while enjoying scenic beauty and delicious dishes of Mount Abu.
Dilwara Jain Temples, Nakki lake, Peace Park, Mount Abu Wildlife Sanctuary, Sunset Point and Guru Shikhar are few important places to visit in Maunt Abu.
Mount Abu is well connected with the other cities of the country. The
nearest airport is Udaipur at a distance of 185 km. from there one can hire a taxi, cab to reach Mount Abu.

Also, if you feel any other place can be added to the list, please comment below.