The regulation of active power flowing through one or multiple DC lines plays an important role to guarantee secure and economic operations of high voltage direct current (HVDC) grids. This paper proposes a new method to regulate DC line power flow based on the adaptive DC voltage droop control strategy in which the voltage references of the voltage droop controllers vary autonomously at post-contingencies. The main advantage of the proposed method is that it can avoid installation of extra equipment and thus the associated losses and costs in the power-converter-based power flow control methods. The proposed control approach does not require to solve online global AC-DC power flow equations, leading to autonomous control. Furthermore, the adaptive droop control does not influence the stability of the HVDC grid since only the droop voltage references vary, but not the droop coefficients. Static analysis and dynamic simulations of a five-terminal HVDC grid are implemented using MATLAB/Simulink Simscape Blockset and OPAL-RT RT-LAB libraries to validate the effectiveness of the proposed autonomous control method.