What is your blog about? Nowadays it is up to you to seek out your first readers. The best way is to get other bloggers to ling to your article. The best way to do that is to comment (useful and relevant comments) on their blogs, and engage them on social media sites like twitter. Join the conversation!
It also helps to ping your blog and make it "known". A good free pinger site which I use myself is pingler.com
You share your content on different social bookmarking websites like facebook, twitter, digg, stumbleupon, delicious, myspace, etc. and soon you'll be seeing people coming to your blog ..
To those saying his visitors will "automatically increase," what your saying is true for growing blogs, but not necessarily for starting them. You could be the best writer in the world, but if nobody knows you exist, you will not get readers. It is necessary to engage the community and share your voice proactively. Let people know you exist, then let your content rocket you to success. Luckily, it is easier than every to participate in you niche or genre actively. Use tools like facebook and twitter to engage your potential readers. You won't be disappointed.
Thanks for your replies. These has been really helpful. Yes, social media sites would really be useful. I can start in facebook, digg, delicous, and twitter. Being in a community of interested and like- minded people does increase one's opportunity for recognition,too. Union is right- get myself recognized first, build on that and keep up the rep.
You can put your blog in the signature in forums that you participate like this one. Add your blog to blog directories. Comment on other blogs that pertain to your blog topic. Have your blog delivered to the social media sites such as facebook and twitter. If you do all of these suggestions you can't help but to get some readers.