The study explores the velocity of Casson fluid that is time-independent over an exponentially infinite isotherm vertical permeable sheet. The impact of magnetohydrodynamic (MHD) with Casson flow over the permeability sheet is examined. In contrast, thermal radiation and heat sink parameters have been incorporated. This study’s primary goal is to determine the significance of thermal radiation on Casson flow with MHD using an analytical solution over a permeable sheet. The flow of the fluid occurs above the sheet when [Formula: see text] is greater than zero, and the sheet extends far away in the [Formula: see text]-direction. The model of governing equations is reduced by applying a suitable set of dimensionless parameters. These dimensionless systems of equations are solved through the Laplace transformation method. The impacts of various variables over velocity, temperature, concentration, skin friction, and Nuseelt number are scrutinized. These variables contain magnetic field [Formula: see text], Casson fluid parameter [Formula: see text], Ghroshof number [Formula: see text], modified Grashof number [Formula: see text], Prandtl number [Formula: see text], thermal radiation [Formula: see text] and Scimdth number [Formula: see text]. These plots are sketched for the considerable magnitude of these variables through the Mathematica Software, and these plots are discussed in detail. Results show that the increasing value of [Formula: see text] reduces the fluid velocity but velocity of fluid is enhanced with larger values of [Formula: see text], [Formula: see text] and [Formula: see text]. The impact of Skin friction and Nusselt number is elaborated by tabular outlined.