When the hamiltonian isn't equal to energy?

Question

I have the following hamiltonian:

$$H = \frac{p_1^2}{2}+\frac{(p_2-k\;q_2)^2}{2} ,\qquad k\in\mathbb{R}.$$

I know that the hamiltonian isnt explicitly dependent on time so $H$ is a motion constant. But, is the hamiltonian equal to energy?