West syndrome is a persistent disease with common, age-dependent, severe neurological disorder that poses a substantial risk to intellectual and motor deficits of children. Researches on intelligent seizure detection method for West syndrome can help doctors make effective judgments. In this paper, we propose an infantile spasm seizure detection algorithm based on hybrid optimization of entropy of entropy (EoE) and Shannon entropy (SE). Different from traditional EoE and SE, fusion features are extracted from optimal division of EoE (ODEoE) and optimal SE (OSE) by considering the epoch length and the number of subepochs in an epoch jointly. In addition, multivariate entropy parameterization via enhanced multi-strategy sparrow algorithm (MEPEM-SSA) is employed for choosing the ideal parameters. Finally, the data from Zhejiang University School of Medicine Children’s Hospital (ZUCH) dataset, CHB-MIT dataset, and Siena scalp electroencephalogram (EEG) dataset are extracted using EEG sensors, and a 10-fold cross validation evaluation is performed on these EEG data from West syndrome patients. The experimental results on the ZUCH dataset show that the mean values of precision, specificity, sensitivity and F1 score of the algorithm are 98.08%, 97.93%, 98.46% and 98.09% respectively. On the CHB-MIT dataset, the mean values of precision, specificity, sensitivity and F1 score reach 98.76%, 99.27%, 97.94% and 98.59%, respectively. And on the Siena scalp EEG dataset, the mean values of precision, specificity, sensitivity and F1 score reach 98.33%, 98.04%, 98.39% and 98.20%, respectively.