Exhibit 24

                               POWER OF ATTORNEY

The undersigned, as a Section 16 reporting person of Rambus Inc. (the
"Company"), hereby constitutes and appoints Jae Kim, Kirk Williams and Keith
Jones, and each of them, as the undersigned's true and lawful attorney-in-fact
to:

    1. prepare, execute in the undersigned's name and on the undersigned's
       behalf, and submit to the Securities and Exchange Commission (the "SEC")
       a Form ID, including amendments thereto, and any other documents
       necessary or appropriate to obtain EDGAR codes and passwords enabling the
       undersigned to make electronic filings with the SEC of reports required
       by Section 16(a) of the Securities Exchange Act of 1934 or any rule or
       regulation of the SEC;

    2. complete and execute Forms 3, 4 and 5 and other forms and all amendments
       thereto as such attorney-in-fact shall in his discretion determine to be
       required or advisable pursuant to Section 16 of the Securities Exchange
       Act of 1934 (as amended) and the rules and regulations promulgated
       thereunder, or any successor laws and regulations, as a consequence of
       the undersigned's ownership, acquisition or disposition of securities of
       the Company; and

    3. do all acts necessary in order to file such forms with the SEC, any
       securities exchange or national association, the Company and such other
       person or agency as the attorneys-in-fact shall deem appropriate.

       The undersigned hereby ratifies and confirms all that said attorneys-in-
fact and agents shall do or cause to be done by virtue hereof.  The undersigned
acknowledges that the foregoing attorneys-in-fact, in serving in such capacity
at the request of the undersigned, are not assuming, nor is the Company
assuming, any of the undersigned's responsibilities to comply with Section 16 of
the Securities Exchange Act of 1934 (as amended).

       This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file Forms 3, 4 and 5 with respect to the
undersigned's holdings of and transactions in securities issued by the Company,
unless earlier revoked by the undersigned in a signed writing delivered to the
Company and the foregoing attorneys-in-fact.

       IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to
be executed as of this 2nd day of October, 2018.


                                          Signature: /s/ David Shrigley
                                                     ---------------------------

                                          Print Name: David Shrigley
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