This paper is aimed to investigate the mutual relationship between ozone-density at cold-point mesopause (O-3-CPM) and solar activity globally using Sounding of the Atmosphere using Broadband Emission Radiometry (SABER) measurements and the 10.7 cm-solar-radio-flux (F-10.7) data set. For this purpose, the global latitude regions are divided into 16 latitude bins. The global changes of O-3-CPM are presented in mesopause region during 2002-2016. SABER has documented dramatic variability in O-3-CPM on time scale of the 11-year solar cycle. The observed changes in the global O-3-CPM correlate well with the changes in solar activity during 2002-2016 with correlation coefficient of 0.92, and the global solar response of O-3-CPM is (20.18 +/- 2.24)%/100 solar flux units in mesopause. Then, the latitudinal distribution of O-3-CPM and its solar cycle dependence are presented for 16 latitude bins. The latitudinal correlation analysis shows that the O-3-CPM is significantly correlated to the solar cycle at or above the 95% confidence level for each latitude bin from 84 degrees S to 70 degrees N, and the correlation coefficients are remarkably higher in the southern hemisphere than for corresponding latitudes in the northern hemisphere. The latitudinal distribution of O-3-CPM takes on a W shape on a global scale, and the distribution of solar response of O-3-CPM is seen in a strong south-north asymmetry between the two hemispheres. The solar response of O-3-CPM in latitudinal distribution decreases gradually from the southern hemisphere to the northern hemisphere, and the standard deviation of solar response increases gradually from the equator to the pole in each hemisphere.