The cellular mechanical environment, including the elasticity of the extracellular matrix, profoundly affects cellular mechanical and biological responses. This responsiveness depends on and may influence the inherent mechanical properties of the cell and the nucleus. In this thesis, the local and global elastic moduli of valve interstitial cells (VICs) cultured on substrates of varying stiffness were characterized using atomic force microscopy (AFM). A novel AFM technique used to directly determine nuclear elastic moduli in situ was also tested and preliminary results for VIC nuclear elasticity and isolated VIC nuclei elasticity were presented. This study confirmed that both local and global elasticity of VICs were sensitive to substrate compliance, and demonstrated that the nucleus was consistently two to four times stiffer than the cytoplasm and that isolated VIC nuclei were significantly softer than the intact nuclei in situ. It also provides practical guidelines for efficient AFM-based measurement of cell mechanical properties.