The increase in fossil fuel prices and the growing demand for clean energy has encouraged the consumption of forest biomass for energy around the world. The distribution of production factors for forest products is not homogeneous across space and the specific market characteristics of each country influence the bioenergy potential. Thus, this article analyzed the structural-differential composition (shift-share) of the international market for energy forest products (EFP) between 2000 and 2020. The data are available from the Food and Agriculture Organization. The EFP consists of firewood, charcoal, wood chips, wood waste, pellets and other agglomerates. Conducted a standard structural-differential analysis (shift-share) over the period 2000–2020, then extended it by applying the Esteban-Marquillas variation. North America, Australia and Europe led in terms of the share of countries with positive effects. Charcoal and firewood were the products most used in energy production. The countries with the greatest positive structural effect were the United States (16 × 106), Canada (7 × 106), Japan (7 × 106), Finland (6 × 106), and France (5 × 106). The countries with the greatest positive differential effect were Myanmar (38 × 106), China (36 × 106), Ghana (20 × 106), Ethiopia (20 × 106), and Congo (18 × 106). From 2000–2020, 29 countries demonstrated a specialized competitive advantage (SCA), 51 countries demonstrated a non-specialized competitive advantage (NSCA), 39 countries demonstrated a non-specialized disadvantage (NSD) and 48 countries demonstrated a specialized competitive disadvantage (SCD). With these results it was possible to note that the increase in oil, gas and electricity prices has encouraged the consumption of EFPs worldwide. Hybrid industries (oil/gas/pellets) increased forest biomass consumption in the period 2000–2020. The dynamics of EFP consumption worldwide have been driven by increased demand from competitive and specialized countries.