Nucleation and crystallization of $eta$-eucryptite in a glass of molecular percentage composition Li2O.Al2O3.2SiO2 are studied. The glasses are made by quenching of the melts from 143$0^{circ}C$ to room temperature. Heat-treatment for nucleation and crystal growth are caried out at various temperature in the range between 50$0^{circ}C$ and 80$0^{circ}C$ with different duration of time. The amounts of crystallization are estimated by the method of x-ray powder diffraction. As the results a time-temperature-transformation relation for crystallization is derived. The maximum rate of crystallization is observed at about 75$0^{circ}C$ from the T-T-T-curve while the crystallization temperature is detected at 67$0^{circ}C$ by DTA measurement. The crystallization temperature moved to 62$0^{circ}C$ by adding 5 weight percents of TiO2 and it moved to 78$0^{circ}C$ by adding 2 weight percents of V2O5. The crystallization temperature moved to 62$0^{circ}C$ by adding 5 weight percent of TiO2 it moved to 78$0^{circ}C$ by adding 2 weight percents of V2O5 The activation energy for crystallization from the pure glass is calculated as 68 Kcal/mol and it varied to 53 Kcal/mol and 110Kcal/mol when 5 weight percents of TiO2 and weight percents of V2O5 are added respectively.