Check for the recycle icon on your container. The lid and container are recyclable.
I have been using these plastic containers to store cloth baby wipes in transport to and from daycare. One of the lids warped from heat in my car and another has broken (depicted). They are damaged and have reached the end of their useful life and I may now recycle them.
As a side note: from a zero waste perspective, plastic Tupperware is not an ideal storage solution for food, wipes, or anything else. As can be seen here, they are not made to be used time after time.