A machine for continuous washing of fabric in rope form, comprising two or more wash tanks (11, 12), including an initial wash tank (11) in which the fabric (T) is designed to enter at a first speed (V1) and a final wash tank (12) from which the fabric is designed to exit at the same said first speed (V1), fabric being accumulable in said wash tanks. The machine also comprises means for alternate movement (19) of the fabric between at least two consecutive wash tanks (11, 12) with a second movement speed (V2), greater with respect to said first speed (V1), in such a manner as to alternately accumulate fabric in said two consecutive wash tanks (11, 12)..