2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76578We develop a method of calculation for the symplectic Floer homology of composite knots. The symplectic Floer homology of knots defined in \cite{li} naturally admits an integer graded lifting, and it formulates a filtration and induced spectral sequence. Such a spectral sequence converges to the symplectic homology of knots in \cite{li}. We show that there is another spectral sequence which converges to the $\Z$-graded symplectic Floer homology for composite knots represented by braids.28pages, AmsLatex, also available at: http://www.math.okstate.edu/~wli/research/publication.html#recentGeometric Topology57M25 (Primary), 58F05; 57M05, 70H05 (Secondary)text