The folding of the genome in the 3D nuclear space is fundamental for regulating all DNA-related processes. The association of the genome with the nuclear lamina into lamina-associated domains (LADs) represents the earliest feature of nuclear organization during development. Here, we performed a gain-of-function screen in mouse embryos to obtain mechanistic insights. We find that perturbations impacting histone H3 modifications, heterochromatin, and histone content are crucial for the establishment of nuclear architecture in zygotes and/or 2-cell-stage embryos. Notably, some perturbations exerted differential effects on zygotes versus 2-cell-stage embryos. Moreover, embryos with disrupted LADs can rebuild nuclear architecture at the 2-cell stage, indicating that the initial establishment of LADs in zygotes might be dispensable for early development. Our findings provide valuable insights into the functional interplay between chromatin and structural components of the nucleus that guide genome-lamina interactions during the earliest developmental stages.