Excavate a pit for the tower crane base and fill it with concrete. Sink steel anchors into the concrete; these will hold the first section of the crane's mast in place. Let the concrete cure for 24 hours.
Bolt the first section of mast to the anchors. Use the spirit level to make sure that the mast is perfectly vertical.
Bolt another section of mast atop the one beneath it. Continue adding mast sections until it reaches the desired height. You will need to use a telescopic boom or a scissor lift for this step.
Assemble the crane's jibs -- the horizontal sections that hold the lifting chains on one end and the counterweights on the other. Lift these into place using another crane and fix them securely with steel bolts.
Test the crane by loading it to full capacity. Once the crane passes the test, you can use it.