Do you wanna do it the natural way? You just have to always post tweets everyday. Make sure it can be of the public's interest too... if you always read online articles about the internet, you can bookmark it using tweeter. There will always be someone who will be interested in your tweet and might as well follow you. Chef Cindy http://hubpages.com/hub/Chefs-Choice-Knife-Sharpener
first thing you should do is follow people. then your would be shown as follower on other people's profile. Make good posts without spamming.
Search for people who target as your clients and follow them as many as possible. Send them some interesting tweets. It may attract the people to see a video or any other useful PDF book materials in your twitter or in your site. This is will basically increase the number of visitors coming your page
Include your follow me badge on every site you have, every forum you participate etc etc. Follow other peoples and post quality tweets.
if you just wanna increase your followers, then there are many ways to do it easy. one would be to go to buzzom.com and keep following people. make sure your twitter profile has your keywords included so that you get the profiles matching your area of interest. once you follow a lot of people, lot of them will follow you back. you can flush the people who didn't follow you after a few days.
Just post interesting comments, use the bookmarks, and always ask people to follow you. Follow other people too, usually, they will follow you in turn.
Follow people of your same interest. Interact with the people who are following you, send direct messages and post interesting tweets. That should help you to have and increase twitter followers.
Update your blog and link your post on twitter. Make sure that you write an interesting post especially for the Google Trend news.
If you wanna increase followers to Retweet what people are tweeting there and share the relevant things with relevant peoples.
"follow me" on all your sites with all your articles and follow as much other persons as you can. If you don't mind that they are not in your niche there are some tools which will automate twitter following.
Take a look at this post: http://howtowordpress.org/wordpress-plugins/18-best-twitter-plugins-for-wordpress/ I found it useful.