In this paper, we have punctured unit Zq-simplex code and constructed a new code called unit Zq-simplex code of type _. In particular, we find the parameters of these codes and have proved that it is an [Φ, (q) + 2, 2, Φ, (q) + 2-Φ, (q) / Φ, (p)] Zq-linear code if k = 2 and [Φ, (q)k-1/ Φ, (q)-1 + Φ, (q)k-2, k, Φ, (q)k-1/ Φ, (q)-1 + Φ, (q)k-2 –,(Φ, (q) / Φ, (p)) (Φ, (q)k-1 –,1/ Φ, (q)-1 + Φ, (q)k-3)] Zq-linear code if k ≥,3,where p is the smallest prime divisor of q: For q is a prime power and rank k = 3,we have given the weight distribution of unit Zq-simplex Codes of type α, . Also, we have introduced some new code from Zq-simplex code called zero divisor Zq-simplex code and proved that it is an [ρ, k-1/ ρ,-1, k, ρ, k-1/ ρ,-1 –,(ρ, (k-1) –,1/ ρ,-1) (q/p)] Zq-linear code, where ρ,= q-Φ,(q) and p is the smallest prime divisor of q: Further, we obtain weight distribution of zero divisor Zq-simplex code for rank k = 3 and q is a prime power.