This data article describes a new dataset on product-level trade elasticity, here defined as the degree of substitutability between varieties, i.e. between products exported by different countries into a given destination. The dataset contains trade elasticities for a list of more than 5000 products of the HS 6-digit classification. Trade elasticities computed using alternative sector classifications are provided as well (TIVA, GTAP, WIOD classification), by pooling the product-level observations within each sector. Starting from the prior that the coefficient associated with tariffs – a variable trade cost – corresponds to the import-demand elasticity in a standard CES structural gravity model of bilateral trade, elasticities are recovered from country-pair specific information on applied tariffs and trade. For each HS 6-digit product category we observe the universe of bilateral trade flows between countries, in value, in a given year, and the tariff (preferential or not) applied to each exporter by each importer on the specific product for 2001, 2004, 2007, 2010, 2013 and 2016. The tariff elasticity is (minus) the elasticity of substitution across products coming from different origins. Product-specific trade elasticity estimations are crucial for the evaluation of the welfare consequences of trade policies, and for the comparison of the welfare gains from trade for countries at different level of development.