In this paper, we obtain super congruences [(p−1)/r] k=1 (−1) k+1 αp − 1 k H 2 k (mod p 2) and [(p−1)/r] k=1 (−1) k k αp − 1 k H 2 k (mod p 2), where r ∈ {1, 2, 3} and α is a p−adic integer. Also, we give new congruences involving binomial coefficients and harmonic numbers