The company had sold 50,518 units in the same month last year, HMIL said in a statement.
In the domestic market, Hyundai sold 36,300 units last month as compared with 33,514 units in June 2014, up 8.3 per cent.
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However, the company's exports declined 7.3 per cent to 15,762 units as against 17,004 units in the same period last year.
HMIL senior vice-president (sales and marketing) Rakesh Srivastava said: "In a market bearing low traction consistent demand of Elite i20, Grand, Xcent- Hyundai volume grew by 8.3 per cent and with the upcoming launch of global SUV Creta, we are confident of sustained growth.