Background and objectives:
Homicides have a profound meaning, as they are a reflection of inequality and social inequity. The highest homicide mortality rates have been observed in areas of greater social vulnerability (SV). The objective of this study is to analyze the trend in homicide mortality and the magnitude of inequality in this indicator, in the population aged 10-69 years, according to strata of social vulnerability (SSV) in the municipality of São Paulo (MSP), Brazil, between 2006 and 2019.

Methodology:
Ecological study of time series, developed in five strata of areas of residence of the MSP, according to level of social vulnerability, considering the São Paulo Social Vulnerability Index of 2010. Homicide mortality rates were calculated for each of the SSV, for each year of the selected period and for the first and last five years. As a measure of inequality, rate ratios (RR) between SSV were used. For trend analysis, the Prais-Winsten regression model and the Annual Percentage Change (APC) were used.

Results:
There were significant declines in homicide mortality rates, in both sexes and in all SSV. Mortality inequality in males increased significantly between the analyzed five-year periods (RR from 2.51 to 3.18; p=0.028) between the high and low SV stratum, while in females, inequality remained stationary (RR=2 .41 for RR=2.28; p=0.615).

Conclusions:
Despite the reduction in homicide mortality rates observed, the values remain very high, especially for men. The increase in inequality observed among men points to the need to strengthen multisectoral public policies to reduce social inequality and the determinants of violence, with the adoption of intervention measures aimed especially at those who live in areas of high SV, and it is up to the sector health the production of knowledge to show who these people are and where they live.