If you have built up an email list, you could also promote your affiliate offers via email promotions. Just make sure you build up a relationship with your audience first instead of going for the hard sell straightaway. The emails you send out must contain your affiliate links to products so when your audience click through. the sale is attributed to you. 
So many webmasters overlook this critical component of a successful site. However, it is one that is easily corrected. A complete course in copywriting is outside the scope of this article, but to point you in the right direction, I would suggest that you start with "Tested Advertising Methods" by John Caples, followed by "Web Copy That Sells" by Maria Veloso.
The reality in affiliate marketing is that it's like most other work-at-home ventures; there are a few who are filthy rich, a good number who are successful enough to meet their goals, and a ton who aren't making anything. So, the question isn't really whether or not affiliate marketing is a viable income option (it is), but whether or not you can make affiliate marketing work for you. Only you can decide that. But to help, here are some tips.
Now as to your comment on traffic it is true, traffic is important. But the truth is, acquiring traffic is easier than converting it. Plus we have many posts dedicated to traffic generation on this blog. Simply check this post, this post or this post. But must importantly, the reason why people struggle with traffic is that they try to promote a sales page or a heavily biased piece of content. Nobody wants to share that, nobody wants to link to that, and as a result you don't get traffic and blame your lack of success on traffic (like you did in your comment above).
If you would like to take a more subtle approach, include a product or service from your company that relates into your blog post. For example, let’s say that you are a wine connoisseur and that is what your blog is based around. In any post that is enticing your readers to open up a good bottle of Merlot or what have you, it would be wise to embed an ad for a quality, easy-to-use wine opener, wine glasses or stoppers that keep the wine fresh.
#1. Wealthy Affiliate - Wealthy Affiliate is my top choice for anyone interested in learning how to create an online business. The training is the best out there and websites and hosting are all included in the program. They also have a free option to join without a credit card so that you can see what is available in the program before you purchase.
No matter how good your marketing skills are, you’ll make less money on a bad product than you will on a valuable one. Take the time to study the demand for a product before promoting it. Make sure to research the seller with care before teaming up. Your time is worth a lot, and you want to be sure you’re spending it on a product that is profitable and a seller you can believe in.
Affiliate marketing overlaps with other Internet marketing methods to some degree, because affiliates often use regular advertising methods. Those methods include organic search engine optimization (SEO), paid search engine marketing (PPC – Pay Per Click), e-mail marketing, content marketing, and (in some sense) display advertising. On the other hand, affiliates sometimes use less orthodox techniques, such as publishing reviews of products or services offered by a partner.[citation needed]

Now most affiliate programs have strict terms and conditions on how the lead is to be generated. There are also certain methods that are outright banned, such as installing adware or spyware that redirect all search queries for a product to an affiliate's page. Some affiliate marketing programs go as far as to lay out how a product or service is to be discussed in the content before an affiliate link can be validated.

Know when to wait. Some affiliate programs require a certain level of traffic, subscribers, etc. If that’s the case, I say it’s better to wait to apply for that program instead of applying and hoping for the best. You risk being labelled the person who can’t follow guidelines and you might also risk not be allowed into the program when you do meet the qualifications.
Many affiliate programs are run with last-click attribution, where the affiliate who receives the last click before the sale gets 100% credit for the conversion. This is changing. With affiliate platforms providing new attribution models and reporting features, you are able to see a full-funnel, cross-channel view of how individual marketing tactics are working together. For example, you might see that a paid social campaign generated the first click, Affiliate X got click 2, and Affiliate Y got the last click. With this full picture, you can structure your affiliate commissions so that Affiliate X gets a percentage of the credit for the sale, even though they didn’t get the last click. 
Both merchants and affiliates need a plan on how to implement affiliate marketing in their online presence, how to develop a strategy to increase performance, as well as to explore benefits they can achieve with this kind of promotion. Each of these concepts is covered in this course. Management of an affiliate program is a chapter dedicated to merchants with tips on how to monitor the program and successfully communicate with the affiliates. Suggestions on popular affiliate programs to join is a chapter for affiliates where they can find interesting affiliate programs, alongside some of the most important features for each of them.
Making Sense of Affiliate Marketing is a great learning tool, even if you are a brand new blogger. By taking this course, you will start off blogging the correct way. You can learn from my affiliate marketing mistakes and learn the best ways to start making an income by being an affiliate. Through taking this course you are sure to grow a profitable blog quicker than the average blogger, as you'll learn exactly what you need to know about affiliate marketing. So, even if you only have one blog post, you are ready to get started with this course! 
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