Morphological analyses require quantitative description of river course by providing its equation. Such an equation is not possible as the river plan-form contains loops that cannot be described by it. To circumvent this difficulty a system of parametric equations is devised for describing the river plan-form. The system of equations was used to obtain morphological attributes like sinuosity and curvature. Using the plan-form data for the River Ganga for years 1780, 1828, 1853, 1935 and 1978 the parametric equations were setup for these years. The plan-forms were to study the changes in channel pattern, sinuosities and mode of movement of meander loops with time in the last two centuries and in the downstream direction in the Ganga River between Mustafabad and Rajmahal over about 900 km long course. Such an equation is not possible as the river plan-form contains loops that can not be described by it. To circumvent this difficulty a system of parametric equations is devised for describing the river plan The system of equations was used to obtain morphological attributes like sinuosity and curvature. The plan-form data for the River Ganga for years 1780, 1828, 1853, 1935 and 1978 the parametric equations were setup for these years. The plan -forms were to study the changes in channel pattern, sinuosities and mode of movement of meander loops with time in the last two centuries and in the downstream direction in the Ganga River between Mustafabad and Rajmahal over about 900 km long course.