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A continuous variable is one which can take any numerical value over some interval. An ordinal variable is one that can take non-numerical or categoric values which can be put into some logical order but where the difference between successive categories cannot be quantified. One example may be Small-Medium-Large, or a popular one among opinion pollsters: Disagree Strongly-Disagree-Agree-Agree Strongly.

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Q: What is difference between continuous and ordinal variable?
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