Aberrant expression of the epigenetic regulator lysine-specific demethylase 1 (LSD1) has been associated with the incidence of many diseases, particularly cancer, and it has evolved as a promising epigenetic target over the years for treatment. The advent of LSD1 inhibitor-based clinical utility began with tranylcypromine, and it is now considered an inevitable scaffold in the search for other irreversible novel LSD1 inhibitors (IMG-7289 or bomedemstat, ORY1001 or iadademstat, ORY-2001 or vafidemstat, GSK2879552, and INCB059872). Moreover, numerous reversible inhibitors for LSD1 have been reported in the literature, including clinical candidates CC-90011 (pulrodemstat) and SP-2577 (seclidemstat). There is parallel mining for peptide-based LSD1 inhibitors, which exploits the opportunities in the LSD1 substrate binding pocket. This Review highlights the research progress on reversible and irreversible peptide/peptide-derived LSD1 inhibitors. For the first time, we comprehensively organized the peptide-based LSD1 inhibitors from the design strategy. Peptide inhibitors of LSD1 are classified as H3 peptide and SNAIL1 peptide derivatives, along with miscellaneous peptides that include naturally occurring LSD1 inhibitors.