In this article considered with problem talker-independent recognition of phonemes in speech that occurs when creating automatic word recognition of discrete and continuous speech based on phonemic-based method. To solve this problem the neural network recognition algorithm phonemes. The material of speech corpus TIMIT performed experiments aimed at evaluating the accuracy of the developed neural network algorithm in recognizing English phonemes of continuous speech. A comparative analysis of the experimental data with the results obtained by using hidden Markov models.