Base running is an essential part in softball. It can be an easy advance in base for teams with fast baserunners which can eventually be a run converted. Before drills can be done make sure your running mechanics are correct. Simple change in mechanics can increase your running speed. Proper arm swing, surface contact and stride length adjustment may help. Make sure also that you are taught the proper way to run around the bases and know the ready position on base prior to the pitch. Rounding the bases of having to increase the running curve before the base will help the runners not to decelerate when running. Check out the link for more tips
Do running drills in general. The more running you do, the faster you will become. Also running stairs or hills will help you increase your speed. I was able to get from home to first in 2.65 seconds, and I did a lot of running drills with my teams. Do liners, shuffles, shuttle runs, and squats to increase your leg strength. Also make sure that you are hitting the inside corner of the bag with you left foot as you are running to shave off some time. Also practice so that you are not taking shuffle steps before you get to the base, this slows you down big-time. (My home-to-home time was 11.14 - these methods do work).
Bat speed is the major reason batters can hit balls deep in the outfield. Aside from bat speed drills make sure to increase core and thigh strength to help with the rotation. Bat drills should help on increasing speed and not to hinder it so it's not advisable to swing a heavy bat.check link out
Lifting weights and sprint mechanic drills are great ways to increase speed without actually sprinting.
Running up hill or up stairs is a workout that will strengthen leg muscles and increase your speed in running.
By practicing running, you can get your speed faster.
Running drills are used by netball coaches to help develop running skills in players. Sprint dodging, shuttle runs, learning to pass while moving, and developing speed and accuracy are effective drills for netball.
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Slow stretching exercises before and after each practice and game are the best prevention. Running drills are good for building stamina, preventing cramps and working on sprinting speed.
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Jogging, running, and sprinting.
You should try using agility ladders. On youtube there are alot of good agility ladder drills. It may look like they wont help but they get your feet much faster which will increase your runnong speed.
speed will increase