To apply for an Alibaba store, you need to follow these steps:

1. Visit the Alibaba homepage (https://www.alibaba.com/) and click the "Join for Free" button in the upper right corner.

2. Enter your email address and password on the registration page that pops up, and then click the "Register" button.

3. Enter your company name, main products, company address and other information, and follow the instructions on the page to create your account and store information.

4. Fill in the store information as required, including store name, store logo, store introduction, category settings, etc.

5. Provide relevant certificates and complete real-name authentication. To open a store on the Alibaba platform, you need to submit a valid business license, tax registration certificate and other relevant certificates, and pass the real-name authentication process for identity verification.

6. You can order a series of value-added services provided by Alibaba as needed, such as advertising, search ranking optimization, data statistics, etc.