Replace the starter relay 1994 Suzuki VS 1400 Intruder

SOURCE: Clutch bleed on a Suzuki 1400 Intruder 2000

One the left-hand side of the bike (facing forward), there is cover plate just ahead of the drive shaft. Remove that cover (mine has 8mm bolts). The bleeder valve is under this cover. Go to an auto parts store and get a "one man bleeder kit" or if you have some plastic tubing that will fit over the valve, you can use that and a clean jar. Follow the instructions on the bleeder kit, or if you're using the jar and tubing, fill the jar about a quarter of the way with break fluid (use DOT4, but never DOT5!). Take the cover off the master cylinder up at the handlebars, place the tube over the end of the bleed valve (after loosening it a turn or two. Place the other end of the tube down in the break fluid in the jar. Work the clutch lever until you stop getting bubbles in the jar. Be sure to keep the fluid level up in the reservoir. Tighten the bleeder valve, remove the tubing, top off the fluid and replace the covers.

Be careful not to get brake fluid on anything. It will eat paint and mess up other things.

SOURCE: 2002 suzuki vs 1400 intruder no start battery is good

You need to get a manual, a multimeter, and a few beers and start checking the wiring and switches, and relays.

SOURCE: suzuki gsxf 600 wont start

bridge the solenoid if the motor turns get a new 1 and fit.

SOURCE: suzuki 1400 intruder wont start.. just clicking noise.

It's most likely the connection to the battery. The screws dont tighten in well and you get the famous clicking....I replaced the stock philips screws with a hex bolt and after two years of trying to solve the problen have been starting everytime for the past year no problems. Another gie away is the intermitant starting problem gets worse when wet.

SOURCE: 2001 suzuki 1500 intruder won't start. replaced

Could be a bad starter push button,poor connection in wiring, bad safety switch.Need to track down with voltmeter if you can.
A good dealer may offer some help if you buy the parts needed from them.