DNA is packaged inside nuclei with the help of histones. These are positively charged proteins that strongly adhere to negatively charged DNA and form complexes called nucleosomes. Each nucleosome is composed of DNA wound around histone octomers (H2A, H2B, H3 and H4). Nucleosomes fold up to form chromatin fibre, which forms loops compressed and folded to produce fibres, which are coiled into the chromatid of a chromosome. Only by loosening compacted chromatin, the DNA of a specific gene can be made accessible to transcription. Some of these drug-induced modifications at the chromatin level are extremely stable and sustain the drug of abuse-induced long-term behaviours. Among them, histone post-translational modifications (PTMs) are known to be causally involved in drug-induced behaviours [194]. PTMs include acetylation (Ac), methylation (Me), phosphorylation (P), ADP ribosylation (PolyADP-R) and dopaminylation (DA), among a growing list of newly discovered modifications [162, 172]. For example, while ubiquitylation (Ub) of H2A is known to be a key interactor of H3 methylation [253], its supposed role in drug addiction is still unknown. At this epigenetic level, some drugs were demonstrated to have an influence on drug-induces behaviours such as histone deacetylase (HDAC), bromodomain and DNA methyltransferase inhibitors. Locus-specific epigenome editing is now encouraging as a new field of investigation as it might help to the discovery of new specific and causal drug of abuse targets. Overview of the tetrapartite glutamatergic synapse composed of a medium spiny neuron (MSN), a glutamatergic projection, a glial cell and the extracellular matrix (ECM). Here, we focused on synaptic potentiation after drug of abuse administration with the addition at the post-synaptic membrane of glutamate AMPA receptor 2 (GluA2) lacking AMPA receptors (AMPARs). This mechanism might be reduced by metabotropic glutamate receptor 1 (mGluR1) positive allosteric modulator or more directly by GluA2-lacking AMPARs antagonists. In the same way, it was also shown that presynaptic mGluR2 agonists can potentially abolish drug seeking and impair craving incubation. Optogenetically-inspired 12 Hz deep brain stimulation (DBS) in the nucleus accumbens can also be a promising novel therapeutic for addiction. Finally, ceftriaxone, N-acetylcysteine, and inhibitor of matrix metalloproteases 9 (MMP-9), mainly through their action on glial cell and the ECM, are very interesting molecules that may be added in the addiction therapeutic arsenal.