Method for estimating the water speed of a first acoustic node D belonging to a network of acoustic nodes, at least some of said acoustic nodes being arranged along towed acoustic linear antennas (S1-S4, S, S'), characterized in that it comprises steps of: a) defining a N-dimensional base, the center of which is said first acoustic node and comprising a single axis, when N=1, or N non-colinear axes, when N=2 or N=3, each said axis being associated with a base vector extending from said first acoustic node to another acoustic node; b) estimating an amplitude of the water speed, as a function of: * for each given other acoustic node defining a said base vector: an acoustic propagation duration of an acoustic signal transmitted from the first acoustic node to the given other acoustic node, and an acoustic propagation duration of an acoustic signal transmitted from the given other acoustic nodes to the first acoustic node; * a value c of the underwater acoustic sound velocity; in that, for each said axis associated with a said base vector extending from said first acoustic node D, to another acoustic node, generically noted X, step b) comprises estimating an amplitude ∥ SP DX ∥of a projection of the water speed on said axis, as a function of: - an acoustic propagation duration t DX of an acoustic signal transmitted from the first acoustic node D to the other acoustic node X; - an acoustic propagation duration t XD of an acoustic signal transmitted from the other acoustic node X to the first acoustic node D; - said value c of the underwater acoustic sound velocity; and in that the amplitude ∥ SP DX ∥ is estimated according to the following formula: ‖ SP DX → ‖ = c t DX − t XD t DX + t XD a) defining a N-dimensional base, the center of which is said first acoustic node and comprising a single axis, when N=1, or N non-colinear axes, when N=2 or N=3, each said axis being associated with a base vector extending from said first acoustic node to another acoustic node; b) estimating an amplitude of the water speed, as a function of: * for each given other acoustic node defining a said base vector: an acoustic propagation duration of an acoustic signal transmitted from the first acoustic node to the given other acoustic node, and an acoustic propagation duration of an acoustic signal transmitted from the given other acoustic nodes to the first acoustic node; * a value c of the underwater acoustic sound velocity; in that, for each said axis associated with a said base vector extending from said first acoustic node D, to another acoustic node, generically noted X, step b) comprises estimating an amplitude ∥ SP DX ∥of a projection of the water speed on said axis, as a function of: - an acoustic propagation duration t DX of an acoustic signal transmitted from the first acoustic node D to the other acoustic node X; - an acoustic propagation duration t XD of an acoustic signal transmitted from the other acoustic node X to the first acoustic node D; - said value c of the underwater acoustic sound velocity; and in that the amplitude ∥ SP DX ∥ is estimated according to the following formula: ‖ SP DX → ‖ = c t DX − t XD t DX + t XD * for each given other acoustic node defining a said base vector: an acoustic propagation duration of an acoustic signal transmitted from the first acoustic node to the given other acoustic node, and an acoustic propagation duration of an acoustic signal transmitted from the given other acoustic nodes to the first acoustic node; * a value c of the underwater acoustic sound velocity; - an acoustic propagation duration t DX of an acoustic signal transmitted from the first acoustic node D to the other acoustic node X; - an acoustic propagation duration t XD of an acoustic signal transmitted from the other acoustic node X to the first acoustic node D; - said value c of the underwater acoustic sound velocity; and in that the amplitude ∥ SP DX ∥ is estimated according to the following formula: ‖ SP DX → ‖ = c t DX − t XD t DX + t XD