People from low socioeconomic positions (SEP) are at a higher risk of smoking, face greater barriers to smoking cessation, and have lower access to health information. To improve tobacco-related health outcomes, policies requiring altering labeling on cigarette packs could be implemented. However, public support is needed to influence the policymaking process. We assessed factors associated with supporting tobacco-control communication policies. We analyzed data from Project CLEAR, a study conducted in Massachusetts. The analytic sample included participants who answered questions on their support for three policies: 1) graphic health warnings (GHWs), 2) Quitline number, and 3) smoking cessation information on cigarette packs (n = 357). Binomial logistic regression modeling was conducted by policy. Independent variables included demographic characteristics and smoking status. We found that younger vs. older individuals (aOR = 0.41, 95 %CI:0.23-0.72), males vs. females (aOR = 0.58, 95 %CI:0.35-0.96), and people who smoke vs. those who don't smoke (aOR = 0.41, 95 % CI:0.24-0.70) were less likely to support a law requiring GHWs. Participants with a low vs. higher level of education (aOR = 0.55, 95 %CI:0.32-0.95) were less likely to support a law requiring a Quitline number. Younger (18-39) vs. older individuals (aOR = 0.53, 95 %CI:0.29-0.94), males vs. females (aOR = 0.57, 95 % CI:0.34-0.96), and participants with a low vs. higher level of education (aOR = 0.56, 95 %CI:0.32-0.98) were less likely to support a law requiring cessation information on cigarette packs. Findings suggest that targeted theory-based public health and communication strategies should be developed to increase awareness and support towards policies that would help reduce cigarette smoking among people from low SEP to eliminate tobacco related health inequities in the US.