In the presence of dispersion and dissipation, plasma photonic crystals (PPCs) are investigated theoretically for both <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">E</i> and <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">H</i> polarized electromagnetic (EM) waves propagating in 2-D honeycomb lattice systems based on plane wave expansion method. Compared with the normal dielectric PCs, the PPCs have larger and more absolute band gaps (ABG). Furthermore, the ABG can be modulated in a larger frequency range by changing plasma frequency or filling factor. For the case of <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">H</i> -polarization, multiflatbands emerge below the normalized plasma frequency and become wider with the increase of filling factor. For the case of <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">E</i> -polarization, pass bands get suppressed when large filling factor value was acquired. By carefully selecting plasma frequency and filling factor, we can acquire the ABGs in expected frequency region and take advantage of the flatbands in large ABG to realize receiving modulated EM waves accurately. These results may provide theoretical instructions for designing new optoelectronic devices.