The company had sold 65,582 units in the same month last year.
Total passenger vehicle sales in the domestic market stood at 9,272 units in December, down 34.63% from 14,185 units in the same month previous year.
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Sales of Nano, Indica, Indigo range in December 2013 were 6,537 units, while that of Sumo, Safari, Aria, Venture range were at 2,735 units, Tata Motors said in a statement.
In the commercial vehicles segment, the company's sales declined by 45.83% to 25,738 units in the domestic market during the month compared to 47,515 units in the corresponding month previous year.
The company's exports declined by 26.79% to 2,842 units last month from 3,882 units in the same month in 2012, it added.