  The aim of this work is to establish congruences $\left(
\operatorname{mod}p^{2}\right) $ involving the trinomial coefficients
$\binom{np-1}{p-1}_{2}$ and $\binom{np-1}{\left( p-1\right)/2}_{2}$ arising
from the expansion of the powers of the polynomial $1+x+x^{2}.$ In main results
we extend some known congruences involving the binomial coefficients
$\binom{np-1}{p-1}$ and $\binom{np-1}{\left( p-1\right) /2}$ and establish
congruences link binomial coefficients and harmonic numbers.
