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Please clean the contacts
http://help.fitbit.com/articles/en_US/Help_article/My-tracker-s-battery-isn-t-charging/?q=not+chargi...
Then Do a Restart
http://help.fitbit.com/articles/en_US/Help_article/1186/?q=restart&l=en_US&fs=Search&pn=1
Also See this thread for charging best practices. If you are not charging it correctly you could be damaging the battery
https://community.fitbit.com/t5/Charge/Fitbit-charge-battery-problems/m-p/1323307#M53291
http://help.fitbit.com/articles/en_US/Help_article/1799
If it doesn't help Contact Support
http://help.fitbit.com/?cu=1
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Community Moderator Alumni are previous members of the Moderation Team, which ensures conversations are friendly, factual, and on-topic. Moderators are here to answer questions, escalate bugs, and make sure your voice is heard by the larger Fitbit team. Learn more
It's great to welcome you @AudriLace and @WendyB thanks for stopping by.
If your Blaze is not holding a charge, I recommend following the instructions provided in this post. After these steps, test your tracker.
Let me know the outcome. 
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