A new mathematical model for Islamic unit trust fund was constructed based on the Integration model and the gaps discovered from existing model of Islamic unit trust in Malaysia. The gaps are payment of zakat/tax and additional benefit for investors. The aim of this study is to investigate the acceptance of public on this new constructed mathematical model. A total of 150 respondents were chosen among investors from Terengganu which has at least one unit of Islamic unit trust fund in Malaysia. The questionnaires distributed consist of four variables, where three were independent variables and one was dependent variable and analysed by using Statistical Package for the Social Science (SPSS). By using a Spearman’s correlation, it is found that each independent variable has moderate and strong correlation with the single variable. This can be concluded that the public has accepted this new constructed mathematical model. This study suggested that this new mathematical model is implemented by Islamic unit trust management in Malaysia and also, for investors to choose the Islamic unit trust which offer more benefits.