Graphene holds tremendous potential for nanoscience and nanotechnology because of its unique structure and excellent physical, chemical, mechanical properties. In addition to electronic and chemical applications, the use of graphene-based materials with chemical functionalization and modification have shed light on the novel developments in biomedical applications, such as drug/gene delivery, imaging, photothermal cancer therapy, biosensing and tissue engineering. However, it can be difficult for graphene and its derivatives directly implanted in living tissue without the help of support materials. Here in this study, Graphene oxide (GO), and reduced graphene oxide (RGO) were successfully was deposited on (Ti) surface as being a routinely used for surgical implant material and its biocompatibility. In order to achieve this purpose, first of all, Ti surface was modified with 3-aminopropyl phosphonic acid (APA) molecules. GO sheets were immobilized on APA/Ti-O functionalized surfaces through the epoxy groups of GO and the amine groups of APA. After reducing GO on APA/Ti surface chemically, RGO/Ti surfaces were modified by utilizing π–π-stacking interactions with FMOC-amino acids (Serine and Leucine) to enhance biocompatibility. The morphology and structure, chemical bonds and molecular composition, hydrophobicity and hydrophilicity of unmodified and modified Ti surfaces were characterized by using scanning electron microscopy (SEM), atomic force microscopy (AFM), X-ray photoelectron spectroscopy (XPS), Raman spectroscopy, UV–Vis spectroscopy and water contact angle measurements (WCA), respectively. To investigate and control the cell behaviors (viability, adhesion and proliferation) to these surfaces, the osteoblast cells were seeded and MTT, Alamar Blue Assays were applied to all surfaces. Cell adhesion and morphology were investigated by using SEM. According to the results of characterizations and cell culture, the presence of the π–π-stacking interactions between Fmoc-amino acids and RGO/Ti surface was demonstrated. It was found that this interaction markedly affected the response of cells in vitro. Fmoc amino acids modified nanocomposites can be appropriate candidates as implant surfaces bone-tissue engineering applications.