In monitoring structural integrity of such structures as buildings and bridges via measuring ambient vibrations, a high precision accelerometer is required. In this study, a recently developed accelerometer with an accuracy with 10-5g is introduced and its improved ability of identifying modal parameters is analyzed through a numerical study. A 7-story building model is utilized in the numerical study and a wind load for simulating ambient vibration source is determined using the Kaimal spectrum. The frequency domain decomposition method is utilized for modal analysis.