Treating pain in burn patients with a history of opioid or drug abuse is challenging. There is no consensus on pain management for burn patients with a history of drug usage. Our aim was to study the association of previous drug addiction and the treatment of acute burn patients, focusing on daily morphine milligram equivalent (MME) requirements and outcomes. We compared patients with (group 1) and without (group 2) a drug addiction history who were admitted to an American Burn Association verified burn center using the Premier database from 2013 to 2018 (n = 3046). Primary outcome was daily MME usage. Secondary outcomes included mortality, expected mortality rate, length of stay (LOS), and number of surgeries. Linear regression was performed to predict MME usage. In total, 16.6% of patients had history of drug abuse. In unadjusted analysis, group 1 had more males (68.1% vs. 57.3%, p < 0.001) and was younger (median 47 vs. median 53, p < 0.001) compared to group 2. In the adjusted analysis, group 1 required 84.1 additional daily MME usage than group 2 (p < 0.01). Drug addiction was associated with an increased number of surgeries, LOS, and higher daily MME usage. Patients with a history of drug usage required almost 60 mg of additional oxycodone per day.