these two are the same thing. Hierarchical Deterministic wallets or in short Deterministic or in shorter HD wallets are wallets that use one seed (don't confuse with mnemonic) to derive all their child keys using HMAC-SHA512 as their one way hash function.
the term "Hierarchy" is used to show there is an order or ranking to the keys where there are parents and children and children of children,...
the term "Deterministic" is used to show that all the child keys are obtained without using randomness. *the randomness is only used once to get the initial seed.