Department of Mathematics University of Rajasthan, Jaipur – 302004 (INDIA)
*E-mail : balir5@yahoo.co.in

Inflationary cosmological model with cosmological constant in the structure of Bianchi Type I space-time is investigated. To get the deterministic model of the universe, it has been assumed that ABC=e3Ht and V() = constant, where A,B,C are metric potentials, H the Hubble constant, V the flat potential,  the Higg’s field. It is found that inflationary scenario exists in Bianchi Type I space-time, the Higg’s field decreases with time, the cosmological constant decreases with time and  tends to constant quantity when t  . Since shear   0 for large values of t, hence anisotropy is maintained for large values of t. However, when a=0, d = 0 then the model isotropizes. The physical aspects of the model in context to inflationary scenario are also discussed