Vij told reporters here that he would send a request to Prime Minister Narendra Modi in this regard.
Earlier this morning, Vij, the outspoken five-time MLA from Ambala Cantt, tweeted, "Declare Cow as National Animal of India instead of Royal Bengal tiger".
Vij also said cow is the most pious animal in Indian culture and is worshipped in most of the parts of the country.
The minister's comments come in the wake of controversy over beef ban and the lynching of a 50-year-old Muslim man in Bishada in Dadri village following rumours that he and his family had eaten beef.
The Haryana 'Gauvansh Sanrakshan and Gausamvardhan' Bill, 2015, which also provides for a fine from Rs 30,000 to Rs one lakh, was passed by the Assembly on March 16.