Organizations are beginning to utilize big data solutions (BDS) to increase performance and creating competitive advantage. Nevertheless, some issues have been found to hinder the adoption of BDS by organizations. One of the most commonly cited issue is security and privacy. This paper presents a conceptual model named Sec-TOE with the objective of examining seven security related factors that may affect organizational intention to adopt BDS. The model is tested using SEM-PLS on a dataset of 103 organizations from New Zealand and Malaysia. The study identified five statistically significant factors; perceived complexity, top management support, information security culture, security/privacy regulatory concern and outsourcing risks. The findings of this study add to current big data and information security literature, confirms the applicability of TOE Framework in technology adoption, and contribute to organizational understanding on security related issues involved in BDS adoption.