Andaman and Nicobar islands experience frequent earthquakes of varying earthquake magnitude. Of which, the recent earthquake 20th March 2019 of magnitude 4.6 at a depth of 10 km and a distance of 38 km from Port Blair is worrisome. The 9.3 magnitude Sunda-Andaman Great Earthquake and subsequent Tsunami of 24th December 2004 has brought the Andaman and Nicobar region to global attention. The Southern Sumatra region has generated several large and Great earthquakes but the overall seismicity of Andaman and Nicobar segment is comparatively less involving few large earthquakes and it is noted that no major or Great earthquakes have occurred in the subduction zone between 80 and 200 though some events of less than 8 magnitude. The rate of strain accumulation in Andaman is fast and varied significantly in past 10 yrs. especially after 2004 earthquake which is also validated by the absence of big magnitude earthquakes in the region. In this, an attempt has been made to relate the frequency and magnitude of historical earthquakes of the past of Andaman and Nicobar islands and the b value was evaluated to estimate the stress accumulation. It is theoretically proved that low b value means high stress accumulation and the b value calculation suggest a high stress accumulation west of Nicobar islands and northern part of Andaman islands.