This　paper　analyzes　the　cryptography　scheme　of　the　Trust　Platform　Model(TPM).　The　focus　of　the　discussion　would　be　the　comparison　of　elliptic　curve　cryptography　and　the　nowadays　widely　used　2048-bit　RSA　in　evaluating　which　would　be　better　suited　to　be　used　on　TPM.　A　TPM　implementation　scheme　based　on　ECC　is　proposed,　which　includes　encryption　and　decryption　schemes,　signature　and　verification　scheme,　key　agreement　scheme.　Corresponding　examples　of　TPM　commands　would　also　be　given.