Importance: Developmental language problems must be detected early to capitalize on the high effectiveness of early intervention. Because developmental language problems are not formally diagnosed until preschool years, a method must be developed and validated to forecast language problems from as early as infancy. Objective: To develop and validate predictive models of language problems with neural data collected from as early as infancy and language problems detected up to 36 months of age.Design, Setting, & Participants: Electroencephalography (EEG) neural encoding of speech, gestational age, birth weight, birth sex, and language outcome data were collected from 439 healthy children from a community sample. Ages and Stages Questionnaire data were also collected from a subset of children. EEG was collected between 3 weeks to 24 months of age and language outcome up to 36 months of age.Exposure: All children underwent EEG testing in which they listened to three speech stimuli (two native and one non-native) and early-latency and long-latency responses were collected. No intervention was involved in the study.Main Outcome Measures: The Chinese Communicative Development Inventory – Cantonese version (CCDI-C) and the language subscale of the Bayley Scales of Infant and Toddler Development, third edition (Bayley-III) were collected between 7 to 36 months of age. Results: Random Forest was used as machine learning algorithm to classify children into binary groups based on a percentile-rank cut-off on the outcome measures (e.g., below or above the 16th percentile). Different predictive models were developed and compared, including those with and without EEG and clinical measures. Models with non-neural measures (e.g., gestational age and birth weight) predicted language outcome above chance level. Models with EEG measures alone outperformed any models without neural features, with sensitivity and Area Under Curve (AUC) scoring well above 90% for the best models. When validated with unseen data, both sensitivity and AUC remained at 90%.Conclusion & Relevance: EEG neural encoding of speech can be a new procedure for screening language developmental problems as early as infancy. Families with children who are screened positive may consider early intervention in the form of parent coaching to promote better language development.