FORM 6-K



                       SECURITIES AND EXCHANGE COMMISSION
                              Washington D.C. 20549



                            Report of Foreign Issuer



                      Pursuant to Rule 13a-16 or 15d-16 of
                       the Securities Exchange Act of 1934


                       For period ending November 25, 2005

                               GlaxoSmithKline plc
                              (Name of registrant)



               980 Great West Road, Brentford, Middlesex, TW8 9GS
                    (Address of principal executive offices)


             Indicate by check mark whether the registrant files or
                 will file annual reports under cover Form 20-F
                                  or Form 40-F


                              Form 20-F x Form 40-F
                                       --


         Indicate by check mark whether the registrant by furnishing the
        information contained in this Form is also thereby furnishing the
       information to the Commission pursuant to Rule 12g3-2(b) under the
                        Securities Exchange Act of 1934.

                                    Yes No x
                                       --


    Notification of Transactions of Directors, Persons Discharging Managerial
                       Responsibility or Connected Persons

I  give  below  details  of  changes  in the  interests  of  Directors,  Persons
Discharging  Managerial  Responsibility  or  Connected  Persons in the  Ordinary
Shares of GlaxoSmithKline plc.

 23 November 2005   Abacus   (GSK)   Trustees   Limited,   as   trustee  of  the
                    GlaxoSmithKline   Employee   Trust,   ("the   GSK   Trust"),
                    transferred   9,601  Ordinary   Shares  in  the  Company  to
                    participants in the SmithKline Beecham Employee Share Option
                    Plan 1991.

The Company was advised of these transactions on 24 November 2005.

The GSK  Trust is a  discretionary  trust  of  which  all  employees  or  former
employees  of   GlaxoSmithKline   plc  and  its   subsidiaries   are   potential
beneficiaries. Three of the Company's directors, Dr J-P Garnier, Dr T Yamada and
Mr J S Heslop are therefore  interested in the shares held in the GSK Trust from
time  to time  in the  same  way as  other  employees  or  former  employees  of
GlaxoSmithKline plc and its subsidiaries.

This  notification   relates  to  a  transaction  notified  in  accordance  with
Disclosure Rule 3.1.4R (1) (b).



S M Bicknell,
Company Secretary

25 November 2005


SIGNATURES


Pursuant to the requirements of the Securities Exchange Act of 1934, the
registrant has duly caused this report to be signed on its behalf by the
undersigned, thereunto duly authorised.


                                                             GlaxoSmithKline plc
                                                                    (Registrant)

Date: November 25, 2005                                   By: VICTORIA LLEWELLYN
                                                              ------------------
                                                              Victoria Llewellyn
                                                 Authorised Signatory for and on
                                                   behalf of GlaxoSmithKline plc