The company had sold 3,48,808 units in the same month last year, HMSI said in a statement.
In the domestic market, its sales stood at 4,08,141 units last month as against 3,31,797 units in June last year, a growth of 23 per cent.
Motorcycle sales rose 27 per cent to 1,42,702 units during the month from the year-ago period, it added.
The company's scooter sales grew 21 per cent to 265,439 units in June.
Exports rose 13 per cent to 19,243 units as against 17,011 units in the same month a year ago, it added.