The 30-year-old Oksana Bobrovskaya, a member of President Vladimir Putin's United Russia Party was killed in the explosion took place in the car on November 26 in Novosibirsk in Siberia, reported Metro.co.uk.
Police suspect the husband may have detonated the bomb in a fit of jealousy.
Police recovered the semi-naked bodies of both victims on the back seat of their car.
According to the reports, the couple had a fight before the incident and he had accused her of cheating on him.
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"It was horrific - something you would not wish anyone to see. No heads, glass covered in blood ... a nightmare," the report quoted a neighbour as saying.