Intensive livestock greatly contributes to the accumulation of methane (CH4), but also other greenhouse gases in the Earth's atmosphere. Methane is produced from carbon dioxide and hydrogen in the rumen of ruminants under the influence of methanogenic Archaea in a process called methanogenesis. Methanogenesis can be directly inhibited, there is the option of reducing hydrogen production during the process of fermentation or creating alternative metabolic pathways for the generated hydrogen that is necessary substrate in methane formation. Ruminants release methane into the environment through belching (eructation). With the aim of reducing methane production and emissions, numerous feeding strategies have been planned. Strategies that are described in this graduation work are: feeding with quality feed, adding dietary ingredients to food, "precise" feeding, dietary supplements that inhibit methanogenesis, addition of additives and/or specific parts of the plant, and addition of protected amino acids. Also, research on the impact of the algae Asparagopsis taxiformis and the Moringa oleifera tree are described in more details in chapters 5 and 6. All described strategies achieved a certain degree of effectiveness in reducing methane emissions. Further research is expected to bring a proposal applicable and available on a global level, with a maximum reduction of methane emissions and without negative impacts on the health and productivity of ruminants.