A single ballot box served Buyukbejyan at the 2023 parliamentary election, with 102 registered voters; that places it 100th among the 127 localities of Kâhta.
90 people voted at that election. AK Parti took the most votes with 67; Yeniden Refah followed with 8. AK Parti's share here is 7.6 points above the district average. In the presidential runoff, 83 of 94 valid votes went to Recep Tayyip Erdoğan — 6.9 points above the district average. At the 2017 referendum 105 of 109 valid votes were 'yes' — 12.1 points above the district average.
Turnout at the 2024 local election was 82.9%, 7.5 points above the district average. The picture has not changed since 2018: AK Parti has finished first in all of the last 4 elections.