Tons of books exist on overcoming procrastination, and each one discusses project deadlines.
Do you see project deadlines as inescapable irritants of life or challenges to be conquered?
To become fearless about deadlines, attack each one immediately by dividing it into pieces, chunks, or mini-goals necessary to complete it.
Supercharge your motivation for meeting these mini-goals by giving yourself rewards for each one you complete. Any small treat, small positive experience, or bit of fun will do.
Acquire this deadline management skill and you will begin rejecting procrastination as a tool for managing the pain of deadlines.