The victory over the visitors sees our winning streak in the league continue as we look to fight for the top spot of the north league.
Striker Matty Warhurst who gave City the lead, finally breaking the deadlock in the 38th minute following patient football by City.
Leeds, however, showed their determination to try and regain a point or three as they narrowed the gap early into the second 45.
Left-back Seb Naylor, who often drifts into the centre of the pitch when City are in possession, found himself in the right spot to fire his shot into the back of the net.
Fellow full-back Ezra Carrington joined in on the action, scoring a goal of his own as his rocket fired off the underside of the crossbar and over the goal line.
Substitute Luca Fletcher topped of City's goals in added time before Leeds tallied another consolation with the last kick of the game.