Welcome to the Apple Support Communities!
I understand you are not seeing your steps being tracked in the Health app on your iPhone. The resource below has some settings to adjust if you are not seeing them. I've highlighted some key information here for you. Click on the link for complete details.
Use the Health app on your iPhone or iPod touch
To use the Health app, download the latest version of iOS for your iPhone or iPod touch.
On iPhone 5s and later, the Health app automatically counts your steps, walking, and running distances.
If the Health app doesn’t track steps or other information from your iPhone or another device, tap Sources and tap your device or accessory under Devices. Then tap Privacy Settings > Motion & Fitness and make sure that Fitness Tracking is turned on.
Tap Today to see your stats for today.
You can also add a metric to Favorites so it appears at the top of the Today screen.
Enjoy your day!