Production relations are one of the basic systems of reasoning under the historical materialism developed by K. Marx and F. Engels, supplemented and developed by V. Lenin. Researching production relations in dialectical relations with production forces is one of the fundamental research lines of philosophy, which has been studied and taught fundamentally in the higher education system in Vietnam. In the context of Doi Moi economy in our country, the research on new production relations is in line with the development process, with the global trend of globalization has also been concerned by scientists. The article introduces some research works on production relations recently published by domestic authors.