To apply for a work permit in Sweden, follow these steps: 

Step 1: Get a job offer from a Swedish employer. 

Step 2:  Make sure the employer has advertised the job in the EU/EEA.  

Step 3: The employer will start the application through the Swedish Migration Agency's website. 

Step 4: You need to provide documents like your passport, job offer, and proof of qualifications. 

Step 5: Wait for the Swedish Migration Agency to process your application. 

Step 6: Once approved, pick up your residence permit card and travel to Sweden.