High-grade serous ovarian cancer (HGSOC) originates in the fallopian tube epithelium and is characterized by ubiquitous TP53 mutation and extensive chromosomal instability (CIN). While the direct causes of CIN are errors during DNA replication and/or chromosome segregation, mutations in genes encoding DNA replication and mitotic factors are rare in HGSOC. Thus, the drivers of CIN remain undefined. We therefore asked whether the oncogenic lesions that are frequently observed in HGSOC are capable of driving CIN via indirect mechanisms. To address this question, we genetically manipulated non-transformed hTERT-immortalized human fallopian tube epithelial cells to model homologous recombination deficiency (HRD) and oncogenic signalling in HGSOC. Using CRISPR/Cas9-mediated gene editing, we sequentially mutagenized the tumour suppressors TP53 and BRCA1, followed by overexpression of the MYC oncogene. Single-cell shallow-depth whole-genome sequencing revealed that loss of p53 function was sufficient to lead to the emergence of heterogenous karyotypes harbouring whole chromosome and chromosome arm aneuploidies, a phenomenon exacerbated by subsequent loss of BRCA1 function. In addition, whole-genome doubling events were observed in independent p53/BRCA1-deficient subclones. Global transcriptomics showed that TP53 mutation was also sufficient to deregulate gene expression modules involved in cell cycle commitment, DNA replication, G2/M checkpoint control and mitotic spindle function, suggesting that p53-deficiency induces cell cycle distortions that could precipitate CIN. Again, loss of BRCA1 function and MYC overexpression exacerbated these patterns of transcriptional deregulation. Thus, our observations support a model whereby the initial loss of the key tumour suppressor TP53 is sufficient to deregulate gene expression networks governing multiple cell cycle controls, and that this in turn is sufficient to drive CIN in pre-malignant fallopian tube epithelial cells.