Abstract:In 2013 data release of Plancks team and even before in WMAP project, some kind of dipole asymmetry has been reported on the Temperature fluctuations of Comic Microwave Background. The amplitude of this asymmetry is about 10 percent. In this talk after reviewing observational reports of Planck 2013 on CMB asymmetry I shall try to show that how a massive domain wall near our Hubble radius during inflation makes the cosmological density fluctuations asymmetric. Also by computing dipole asymmetry of variance fluctuations I would search for the best fit in parametric space according to data. Domain wall model has also nontrivial predictions on non-diagonal components of TT map of the CMB. Moreover, domain wall gives an effective mass to graviton and changes the statistics of Gravitational Waves very different from scalar fluctuations, a prediction that could be falsified in future CMBR surveys if primordial GW is going to be detected.