According to theoretical literature, accurate prediction in the digital currency market plays a fundamental role in risk management, portfolio optimization . It assists investors in making more informed decisions, managing risk, and maximizing returns. Based on the importance of the ever-growing cryptocurrencies Bitcoin and Ethereum, this research has predicted their performance and yield fluctuations using a combination of Hidden Markov Models and the Garch-Markov method, based on daily data. Based on the prediction results, the accuracy of Ethereum’s performance prediction using the Hidden Markov Model method with the DAP = 65.38%, and with the MAPE = 1.76%. Therefore, using this method has led to a 25% improvement in trend prediction accuracy. However, the absolute prediction accuracy for values has slightly worsened compared to the simple Markov model. For the cryptocurrency Bitcoin, the prediction results indicate that the model’s accuracy based on the DAP = 76.92%, and based on the MAPE = 1.43%. After employing the GARCH-Markov method, the model’s performance in predicting trends has improved by 5%, but the absolute value index has reached 55%.