The only way to fix it so that your cigarette lighter fuse stops blowing is to check each possible point of failure until you identify the issue. But whatever you do, don’t even think about replacing the cigarette lighter fuse with a higher amp fuse. Depending on the nature of your problem, replacing the fuse with a higher amp version could damage the fuse box, melt wires, or even cause a fire.
Car cigarette lighters are simple devices that have changed very little over the decades. The two basic components are a socket, which is connected to both power and ground, and a removable plastic or metal housing that contains a coiled metal strip.
In most cases, the inner wall of the socket is grounded, and a pin at the center is connected to a fused power source. When you push the lighter into the socket, current passes through the coiled metal strip, which causes it to heat up.