Presence and absence polymorphisms (PAPs) exist extensively and have been investigated in different organisms. However, PAPs have rarely been detected between strawberry species at the genome level. This study identified the presence and absence genes (P/A genes) between wild strawberry species (Fragaria vesca) and octoploid cultivated species (F. × ananassa) under a relatively strict criterion. In total, 333 P/A genes present in the wild strawberry but absent in the cultivated strawberry were detected. Of the P/A genes, 91.89% (306/333) were single genes, and only 8.11% were confirmed as multi-genes. The majority of the identified P/A genes in Fragaria were generated by tandem duplications. The P/A genes were unevenly distributed on the seven chromosomes of woodland strawberry, and they clustered preferentially near the telomeric regions of the chromosomes. The P/A genes tended to encode proteins with domains closely associated with responses to varying ecological factors, such as PPR, Protein kinases (PKs), NB-ARC, F-box and EF-hand domains. This indicated that the P/A genes were associated with coping with biotic and abiotic stresses to improve the adaptability of plants to changing environments.