No Timber From Tyrants Act This bill prohibits the importation of wood and related articles from Russia and Belarus. It also directs the Department of the Interior and the Department of Agriculture (USDA) to replace these prohibited imports with timber production on certain lands. Specifically, the bill directs the President to prohibit the importation of all wood and related articles from Russia and Belarus. The President may terminate this prohibition upon certification to Congress that certain conditions have been met, including that Russia or Belarus (or both, as applicable) reached an agreement to withdraw forces in Ukraine. Additionally, the bill directs Interior and USDA to authorize timber harvest in an amount sufficient to equal the volume, with respect to calendar year 2021, of imports of wood and related articles from Russia and Belarus. Interior may authorize timber harvest only on public lands and USDA may authorize timber harvest only on National Forest System lands. The bill generally prohibits Interior and USDA from approving a plan that reduces the allowable sale quantity of timber.