Composites comprising Carbon Nano Tube (CNT)s and the biocompatible polymers are of special interest due to their potential for specific biomedical applications. Pure biocompatible polymers such as poly-L-lactic acid (PLLA) does not have adequate mechanical properties for certain medical applications such as bone scaffolds or bone fixture; therefore new studies have been conducted. In this paper, we discussed on reinforcing the biodegradable polymers with carbon nanotubes as filler. We prepared mixture of single walled CNT (SWCNT) in PLLA for bone scaffolds application with a simple mixing method. We discovered that an addition up to 0.5 wt.% SWCNT found to increase the elastic modulus in factor of 4 and tend to decrease after an addition of 0.7 wt.% . Here, we report both analytical and numerical micromechanical model for elastic modulus compared with the experimental data. The analytical models covered the simplest model such as mixing rule (Voigt and Reuss model) and more advanced one such as Halpin-Tsai model. On the other hand, the numerical model elucidated a model of representative volume element (RVE) of the CNT/polymers. Additionally, particle orientations were also investigated in the random and aligned direction for analytical and numerical model. In the end, volume element simulation results of Ec/Em (stiffness ratio) are compared with the analytical model solution. The result shows that numerical simulation with aligned particle orientation gave best result for estimating the stiffness ratio of SWCNT up to 0.5 wt.%. The scanning electron microscope images also pictured to verify the alignment of particles in the polymer matrix