Transcriptional heterogeneity from plasticity of the epigenetic state of chromatin is thought to contribute to tumor evolution, metastasis, and drug resistance. However, the mechanisms leading to nongenetic cell-to-cell variation in gene expression remain poorly understood. Here we demonstrate that heritable transcriptional changes can result from the formation of micronuclei, aberrations of the nucleus that are common in cancer. Micronuclei have fragile nuclear envelopes (NE) that are prone to spontaneous rupture, which exposes chromosomes to the cytoplasm and disrupts many nuclear activities. Using a combination of long-term live-cell imaging and same-cell, single-cell RNA sequencing (Look-Seq2), we identified significant reduction of gene expression in micronuclei, both before and after NE rupture. Furthermore, chromosomes in micronuclei fail to normally recover histone 3 lysine 27 acetylation, a critical step for the reestablishment of normal transcription after mitosis. These transcription and chromatin defects can persist into the next generation in a subset of cells, even after these chromosomes are incorporated into normal daughter nuclei. Moreover, persistent transcriptional repression is strongly associated with, and may be explained by, surprisingly long-lived DNA damage to these reincorporated chromosomes. Therefore, heritable alterations in transcription can originate from aberrations of nuclear architecture.