Genomic variable lamina-associated domains (vLADs) bind the nuclear lamina and repress genes in a cell-state-specific manner. Harr et al. developed the tagged chromosomal insertion site (TCIS) system to integrate short (<2.5-kb) DNA fragments into the genome, identified mouse fibroblast-specific vLADs and derived lamina-associated sequences (LASs) from their borders. Several LAS insertions could target chromatin to the lamina by binding the transcriptional repressor YY1. Targeting of both LAS-containing TCISs and endogenous LADs to the lamina required YY1 and lamin C, as well as the facultative heterochromatin marks H3K27me3 and H3K9me2/3.