tronic counterpart to the layered group V semiconductors [25]. Similarly, GeSe is an isoelectronic counterpart to the group V semiconductors and has the same layered structures. α-GeSe nanosheets have been synthesized by several methods and applied in photodetector devices [11,12]. The semiconducting electronic properties of α-GeSe have been confirmed by a recent theoretical investigation [26]. However, the stability and electronic properties of the GeSe monolayers in the other polymorphs have not been investigated. A systematic theoretical investigation of their structures and properties will not only enrich our understanding of the property variations of the polymorphs, but it will also facilitate potential applications. Despite some theoretical and experimental studies of α-GeSe being reported, many important questions still remain unknown: what are the stabilities of the GeSe monolayers in the different phases? How do the electronic properties vary with the different phase structures? In this work, we aim to answer these questions.In this work, by comprehensive density functional theory (DFT) calculations, we report the discovery of the four previously unknown phases of the GeSe monolayer in addition to layered α-GeSe: β-GeSe, γ-GeSe, δ-GeSe, and ε-GeSe. The five polymorphs of GeSe exhibit versatile energy band gaps, which are very significant for broadband optoelectronic and photonic applications. In particular, β-GeSe is an indirect band-gap semiconductor with a band gap of 3.01 eV calculated using the HSE06 exchange-correlation functional. From the band edge alignment, the conduction band minimum (CBM) and valence band maximum (VBM) energies of β-GeSe are −2.54 and −5.55 eV, respectively, which indicates that it is a promising material Using comprehensive density functional theory calculations, we systematically investigate the structure, stability, and electronic properties of five polymorphs of GeSe monolayer, and highlight the differences in their structural and electronic properties. Our calculations show that the five free-standing polymorphs of GeSe are stable semiconductors. β-GeSe, γ-GeSe, δ-GeSe, and ε-GeSe are indirect gap semiconductors, whereas α-GeSe is a direct gap semiconductor. We calculated Raman spectra and scanning tunneling microscopy images for the five polymorphs. Our results show that the β-GeSe monolaye r is a candidate for water splitting.