You don't really need two hashes for that. Your code can be simplified to:

#!/usr/bin/perl

use strict;
use warnings;

open JHF, '<', 'File2' or die "Cannot open 'File2' $!";
my %vals;
while ( <JHF> ) {
    my ( $key, $val ) = split;
    $vals{ $key } = $val if defined $val and defined $key;
}
close JHF;

open IHF, '<', 'File1' or die "Cannot open 'File1' $!";
print "\n\n";
while ( <IHF> ) {
    my ( $k, $v ) = split;
    next unless defined $k and defined $v;
    print "$k     $v  $vals{$k}\n" if exists $vals{ $k };
}
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