Predicting material waste minimization could be a giant stride to its achievement on construction projects. Models have been found to be efficient in prediction. This study develops a model for predicting the level of material waste minimization (MWM) in construction projects from a set of predictors. The objective is to examine the various contributions of 40 strategies to MWM in construction projects, which will then be classified as predictors in the model. The site managers of construction projects of medium-sized and large contracting firms in South West Nigeria comprise the study's population. Purposive sampling was used to identify and choose 167 of such building projects as sample size. Data were analyzed using mean, frequency, percentage, factor analysis and multiple regressions. The study reveals that the predictors of material waste minimization on construction projects are modern building techniques, materials handling, purchase/supply, site management, innovative system, subcontractors’ responsibility and off-site construction. The study concludes that the developed-model can predict material waste minimization, and thus recommend it for usage on construction projects.