The extractivism of native products, based on the sustainable explotation of non-timber forest products (NTFPs), is for sure one of the most consistent ecological alternatives, with respect to the conservation of the biodiversity and natural Amazonian forest cover. There is no doubts that there are systemic problems that represent barriers for the satisfactory development of this segment. The overflow production multiplier effect of the sectors in the
extractivists supply chain of the Amazon is a preponderant variable that contributes for the low level of social and economical development of this region. Therefore, is imperative the theoretical analysis about the possibilities of development based in modern bases of that new capitalism that has been trying to perfect the economical mechanisms for the global sustainability. The Amap´a is the most preserved State Brazilian (97% of original forest) and 72% of its territory are areas legally protected. This work tries to identify contribution level that non-timber forest products, extracted from forest dwellers, has in the economy of State Amapá. The central method of analysis used in this work came from the model of matrix input-output, developed by Wassily Leontief. This analytical procedure has relevant prominence as practical instrument of analysis and economical planning. Besides of the analyses of programming of the sectorial economical growth, it is adapted to estimate by the multipliers effect, the impacts of the economical growth on the production, job and sectorial income of all economy. This main object of study are the analyses of the local productive arrangements of the non-timber forest products in the State of Amap´a, at both regional and local levels. The method developed by the Francisco de Assis Costa (Alpha Social Accounts - CS_) was used for construction of the matrix input-output, with base of progressive analytical procedures and through continuous aggregation of local data. The sector of the extractivism of non-timber forest products in the state of Amapá, with a GDP (Growth Domestic Product) of R$ 204 millionin in 2009, that represent 3,07% of total of GDP of the state of Amapá that is apparently small. Therefore, thit value is extremely significant when is analyzed the total GDP of the state of Amapá (R$ 6,65 billion) and that only 13,24% refers to the Productive
Sector, while 86,77% refers for the Tertiary Sector.
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