This paper presents the first morphological segmentation research for the Tigrinya language using supervised machine learning techniques. A morphologically segmented corpus was constructed, and models based on Conditional Random Fields (CRF) and Long Short-Term Memory (LSTM) neural networks achieved a 94.67% F1 score for morpheme boundary detection. The study aims to enhance understanding of Tigrinya's morphological properties and encourage further research in the field of natural language processing.