WE CLAIM:
1. A printing method of a lithographic printing plate precursor having on an aluminum support, an image-recording layer capable of being developed by supplying at least any of printing ink and dampening water, wherein steps (i) to (v) shown below are performed at start of printing in order of (i), (ii), (iii), (iv) and (v) or in order of (i), (iii), (ii), (iv) and (v):
(i) exposing imagewise the lithographic printing plate precursor and then mounting on a plate cylinder of a printing machine;
(ii) supplying by spraying at least any of dampening water and an aqueous solution containing an organic solvent to at least any of a dampening roller, a roller for supplying water to dampening roller, a roller for stabilizing water amount and a metering roller, which are dampening water supply means of the printing machine;
(iii) rotating water feed rollers without the dampening roller being brought into contact with the lithographic printing precursor;
(iv) bringing the dampening roller into contact with the lithographic printing plate precursor to supply dampening water from the dampening roller to the lithographic printing plate precursor; (v) bringing an inking roller into contact with the lithographic printing plate precursor to supply printing ink from the inking roller to the lithographic printing plate precursor, and supplying printing paper at the same time as or after the bringing an inking roller into contact with the lithographic printing plate precursor.
2. The printing method as claimed in Claim 1, wherein the steps of (i) to (v) at the start of printing is performed in order of (i), (ii), (iii), (iv) and (v), and after being rotated the water feed rollers from 1 to 50 rotations in step (iii), the dampening roller is brought into contact with the lithographic printing plate precursor.
3. The printing method as claimed in Claim 1 or 2, after bringing the dampening roller into contact with the lithographic printing plate precursor in step (iv) the contact is released once, and within 30 minutes after the releasing, the dampening roller is again brought into contact with the lithographic printing plate precursor.

4. The printing method as claimed in any one of Claims 1 to 3, wherein the organic solvent in the solution containing an organic solvent for injecting in step (ii) is a solvent miscible with water.
5. The printing method as claimed in Claim 4, wherein the organic solvent is an alcohol solvent, an ester solvent, an ether solvent or a ketone solvent.
6. The printing method as claimed in any one of Claims 1 to 3, wherein the dampening water for injecting in step (ii) has same composition as dampening water used during printing and has high concentration.

7. The printing method as claimed in any one of Claims 1 to 6, wherein the image-recording layer contains an infrared absorbing agent, a polymerization initiator, a radical polymerizable compound and a binder polymer.
8. The printing method as claimed in Claim 7, wherein the binder polymer is an acrylic resin binder having polyethylene oxide or polypropylene oxide in its side chain.
9. The printing method as claimed in any one of Claims 1 to 8, wherein the lithographic printing plate precursor has an undercoat layer containing a polymer compound having a hydrophilic group and a group adsorbing to a surface of the support between the aluminum support and the image-recording layer.