Currently, the Lampung Mangrove Center (LMC) forest is experiencing a decline in tree health productivity. This condition is caused by human activities and seawater abrasion, which has an impact on increasing greenhouse gases (GHG) and estimating carbon stocks. The aim of this study was to determine the correlation between tree health productivity and tree carbon stock estimation. The stages of the research carried out were: data collection on tree health productivity using the Forest Health Monitoring (FHM) technique; calculation of tree carbon stock estimation using the Allometric formula based on tree species; and correlation analysis using the Rank-Spearman method. Based on the results of the study, the value of productivity based on volume and the estimated value of carbon stock for Avicennia sp. of 0.38 m3 and 136.14 tons, and Rhizophora sp. of 0.21 m3 and 37.18 tons The correlation coefficient values obtained are: 0.704 (Avicennia sp.) and 0.843 (Rhizophora sp.). Thus, there is a strong and positive correlation between tree health productivity and tree carbon estimates. Therefore, it is necessary to pay attention to aspects of tree protection to maintain the function of mangroves as CO2 absorbers.