  We show how to construct an algebraic curve for factorized string solution in
the context of the AdS/CFT correspondence. We define factorized solutions to be
solutions where the flat-connection becomes independent of one of the
worldsheet variables by a similarity transformation with a matrix $S$
satisfying $S^{-1}d S=const$. Using the factorization property we construct a
well defined Lax operator and an associated algebraic curve. The construction
procedure is local and does not require the introduction of a monodromy matrix.
The procedure can be applied for string solutions with any boundary conditions.
We study the properties of the curve and give several examples for the
application of the procedure.
