A method is presented which yields time-resolved spectral distributions of fusion neutrons by an extension of time of flight spectroscopy. The signals of various neutron detectors placed at optimized distances from the source are used. The evaluation is done by a computer assisted Laplace transformation procedure. Applying this method it is possible to measure time resolved neutron spectra of pulsed neutron sources (pulse duration 50 ns to 1 mu s). Five to ten photomultiplier signals in a distance range of 5-100 m are necessary. Time resolution better than 10 ns and energy resolution in the range of 100-300 keV is possible. An experimentally obtained time-resolved neutron spectrum is shown. It was taken at the POSEIDON plasma focus and exhibits characteristic features, such as an emission of a double neutron pulse and different energy distributions in the pulses.