diff --git a/gnu/local.mk b/gnu/local.mk
index a81c6195cf..432c0737dc 100644
--- a/gnu/local.mk
+++ b/gnu/local.mk
@@ -573,6 +573,8 @@ dist_patch_DATA =						\
   %D%/packages/patches/gtk3-respect-GUIX_GTK3_PATH.patch	\
   %D%/packages/patches/gtk3-respect-GUIX_GTK3_IM_MODULE_FILE.patch \
   %D%/packages/patches/gtkglext-disable-disable-deprecated.patch \
+  %D%/packages/patches/hdf4-shared-fortran.patch 		\
+  %D%/packages/patches/hdf4-reproducibility.patch 		\
   %D%/packages/patches/hdf5-config-date.patch			\
   %D%/packages/patches/hdf-eos5-build-shared.patch 		\
   %D%/packages/patches/hdf-eos5-remove-gctp.patch		\
diff --git a/gnu/packages/maths.scm b/gnu/packages/maths.scm
index d5e82bb4fa..07934e3114 100644
--- a/gnu/packages/maths.scm
+++ b/gnu/packages/maths.scm
@@ -445,6 +445,65 @@ (define-public gctp
     (home-page "https://github.com/OkoSanto/GCTP")
     (license license:public-domain))) ;https://www2.usgs.gov/laws/info_policies.html
 
+(define-public hdf4
+  (package
+    (name "hdf4")
+    (version "4.2.11")
+    (source
+     (origin
+       (method url-fetch)
+       (uri (string-append "https://support.hdfgroup.org/ftp/HDF/releases/HDF"
+                           version "/src/hdf-" version ".tar.bz2"))
+       (sha256
+        (base32 "16yr50j845zlfx20skmw3y75ww77akk9gg0affjqkg66ih5r03mv"))
+       (patches (search-patches "hdf4-reproducibility.patch"
+                                "hdf4-shared-fortran.patch"))))
+
+    (build-system gnu-build-system)
+    (native-inputs
+     `(("gfortran" ,gfortran)
+       ("bison" ,bison)
+       ("flex" ,flex)))
+    (inputs
+     `(("zlib" ,zlib)
+       ("libjpeg" ,libjpeg)))
+    (arguments
+     `(#:parallel-tests? #f
+       #:configure-flags '("--enable-shared")
+       #:phases
+       (modify-phases %standard-phases
+         (add-before 'configure 'patchbuild
+           (lambda _
+             (substitute*
+                 '("mfhdf/hdfimport/testutil.sh.in" "hdf/util/testutil.sh.in")
+               (("/bin/rm") "rm")
+               (("/bin/mkdir") "mkdir"))
+             (substitute* (find-files "." "^Makefile\\.in$")
+               (("@HDF_BUILD_XDR_TRUE@XDR_ADD = \
+-R\\$\\(abs_top_builddir\\)/mfhdf/xdr/\\.libs") "")
+               (("@HDF_BUILD_SHARED_TRUE@AM_LDFLAGS = \
+-R\\$\\(abs_top_builddir\\)/mfhdf/libsrc/\\.libs \
+-R\\$\\(abs_top_builddir\\)/hdf/src/\\.libs \\$\\(XDR_ADD\\)") "")))))))
+    (home-page "https://www.hdfgroup.org/products/hdf4/")
+    (synopsis
+     "Library and multi-object file format for storing and managing data")
+    (description "HDF4 is a library and multi-object file format for storing
+and managing data between machines.  HDF4 is an older hierarchical data format,
+incompatible with HDF5.")
+    (license
+     (license:non-copyleft
+      "https://www.hdfgroup.org/ftp/HDF/HDF_Current/src/unpacked/COPYING"))))
+
+(define-public hdf4-alt
+  (package
+    (inherit hdf4)
+    (name "hdf4-alt")
+    (arguments
+     (substitute-keyword-arguments (package-arguments hdf4)
+       ((#:configure-flags flags) `(cons* "--disable-netcdf" ,flags))))
+    (synopsis
+     "HDF4 without netCDF API, can be combined with the regular netCDF library")))
+
 (define-public hdf5
   (package
     (name "hdf5")
diff --git a/gnu/packages/patches/hdf4-reproducibility.patch b/gnu/packages/patches/hdf4-reproducibility.patch
new file mode 100644
index 0000000000..9b5fea6269
--- /dev/null
+++ b/gnu/packages/patches/hdf4-reproducibility.patch
@@ -0,0 +1,35 @@
+Remove/patch unreproducible config data.
+
+diff --git a/configure b/configure
+index eb9f346..ebab94d 100755
+--- a/configure
++++ b/configure
+@@ -23163,7 +23163,7 @@ H4_VERSION="`cut -d' ' -f3 $srcdir/README.txt | head -1`"
+ 
+ 
+ ## Configuration date
+- CONFIG_DATE="`date`"
++CONFIG_DATE=`date -u -d "@$SOURCE_DATE_EPOCH"`
+ 
+ ## User doing the configuration
+  CONFIG_USER="`whoami`@`hostname`"
+diff --git a/libhdf4.settings.in b/libhdf4.settings.in
+index 1d9bbb9..4180d72 100644
+--- a/libhdf4.settings.in
++++ b/libhdf4.settings.in
+@@ -5,10 +5,10 @@ General Information:
+ -------------------
+ 		   HDF4 Version: @H4_VERSION@
+ 		  Configured on: @CONFIG_DATE@
+-		  Configured by: @CONFIG_USER@
++		  Configured by: guix
+ 		 Configure mode: @CONFIG_MODE@
+-		    Host system: @host_cpu@-@host_vendor@-@host_os@
+-              Uname information: @UNAME_INFO@
++		    Host system: guix
++              Uname information: guix
+ 		      Libraries: @STATIC_SHARED@
+ 	     Installation point: @prefix@
+ 
+-- 
+2.10.0
diff --git a/gnu/packages/patches/hdf4-shared-fortran.patch b/gnu/packages/patches/hdf4-shared-fortran.patch
new file mode 100644
index 0000000000..60db355bea
--- /dev/null
+++ b/gnu/packages/patches/hdf4-shared-fortran.patch
@@ -0,0 +1,25 @@
+Allow building a shared library with Fortran.
+---
+ configure | 6 ------
+ 1 file changed, 6 deletions(-)
+
+diff --git a/configure b/configure
+index f37d2fa..eb9f346 100755
+--- a/configure
++++ b/configure
+@@ -6141,12 +6141,6 @@ if test "X${enable_shared}" != "Xyes"; then
+     enable_shared="no"
+ fi
+ 
+-if test "X${enable_shared}" = "Xyes"; then
+-    if test "X${BUILD_FORTRAN}" = "Xyes"; then
+-        as_fn_error $? "Cannot build shared fortran libraries. Please configure with --disable-fortran flag." "$LINENO" 5
+-    fi
+-fi
+-
+ 
+ { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether ln -s works" >&5
+ $as_echo_n "checking whether ln -s works... " >&6; }
+-- 
+2.10.0
+