A modified fractal growth model of minerals was considered in the square lattice 300 × 300. One seed is placed at the center of the square lattice as a growth focus and the attraction domain is set to diamond. Three main parameters are considered in this model which probability of the surface adhesion is Pg with the range of 0 to 99% to eliminate the noise impact and adsorption distance d varies from 0 to 9 units on behalf of the gravitational field strength between particles and fill gaps s varied from 0.00 to 5.00 units distance to perform the influence of environmental temperature on the minerals growth system. Three model sets are carried out with two fixed parameters and the other changed parameter. The results show the fractal dimension of DLA group increase with the decrease of Pg and the increases of d and s, as well as the structure of minerals from disseminated, star or radial gradual transition to agglomerate. The model is a two-dimensional simulation for three-dimensional fractal growth and can not fully reflect the complex growth dynamics of mineral aggregate in three-dimensional confined space.