Nucleosomes, the basic units of chromatin, are decorated with a myriad of posttranslational modifications (PTMs) by the action of chromatin modifiers. These enzymes function almost exclusively as part of stable protein complexes that assist their recruitment to specific genomic loci, specify their substrate, and provide allosteric control. By altering the interactions within nucleosomes or with neighboring nucleosomes and serving as a platform to engage effector proteins, PTMs deposited by histone-modifying complexes influence virtually every nuclear process and are at the heart of the epigenetic mechanisms. Hence, it is critical to identify their components, define their structures, and characterize their biochemical activities. Here we describe protocols for tandem affinity purification (TAP) of native histone acetyltransferase (HAT) and methyltransferase (HMT) complexes from human cells engineered to express bait proteins from a genomic safe harbor or their endogenous chromosomal genes, using zinc-finger nucleases (ZFNs), TAL effector nucleases (TALENs), and clustered regularly interspaced short palindromic repeats (CRISPR)/Cas9 systems. The approaches presented aim to preserve natural transcriptional and posttranscriptional regulation and minimize biochemical artifacts due to ectopic expression. Near homogenous preparations of native complexes are obtained in sufficient amounts to perform biochemical assays and characterize their components.