Most traditional single-phase photovoltaic (PV) grid-connected inverters only operate at unity power factor, which is ineffective for the current harmonics generated and injected into the grid by local non-linear loads. In order to solve this problem, this paper proposes a novel method of grid-connected current harmonic control for distributed PV grid-connected inverter with the local loads based on Linear Active Disturbance Rejection Control (LADRC). Firstly, according to the PV power, DC bus voltage, the local loads current containing harmonics, and reactive power demand of the local loads, the inverter output reference current command is designed by the outer-loop controller, and then, according to the Kirchhoff laws, a dynamic mathematical model including the known and the unknown disturbances of the grid and the inverter is established. Finally, a state-feedback control law is established based on the observing and compensating the disturbances by the Linear Extended State Observer (LESO). The output reference current command of inverter is fast tracked through the LADRC inner-loop controller, so that local current harmonics and local reactive power are compensated without analyzing the current harmonics. The final experimental results verify the effectiveness of the proposed method.