Background: Several clinical trials of tuberculosis preventive treatment (TPT) for household contacts of patients with multidrug resistant tuberculosis (MDR TB) are nearing completion. The potential benefits of TPT for MDR TB contacts extend beyond the outcomes that clinical trials can measure. Methods: We developed an agent based, household structured TB and MDR TB transmission model, calibrated to an illustrative setting in India, the country accounting for 26% of global MDR TB burden. We simulated household contact investigation for contacts of patients with MDR TB, comparing an MDR TPT regimen against alternatives of isoniazid preventive treatment, household contact investigation without TPT, or no household contact intervention. We simulated outcomes of a clinical trial and estimated the patient level and population level effects over a longer time horizon. Findings: During two years of follow up per recipient, a simulated 6 month MDR TPT regimen with 70% efficacy against both DS and MDR TB infection could prevent 72% [Interquartile range (IQR): 45 , 100%] of incident MDR TB among TPT recipients (number needed to treat (NNT) 73 [44 , 176] to prevent one MDR TB case), compared to household contact investigation without TPT. This NNT decreased to 54 [30 , 183] when median follow up was increased from two to 16 years, to 27 [11 , Inf] when downstream transmission effects were also considered, and to 12 [8 , 22] when these effects were compared to a scenario of no household contact intervention. Interpretation: If forthcoming trial results demonstrate efficacy, the long term population impact of MDR TPT implementation could be much greater than suggested by trial outcomes alone.