Y'know, it's really, really nice to post actually parsable example code.

You could just seperate the first td call.

# corrected original
my ($value1, $value2, $value3) = (1..3);

print $cgi->Tr({ -align=>'LEFT', -valign=>'TOP'},
    [
     td( { -OnClick=>"javascript:dothis()" },
        [ $cgi->a( {-href=>"http://example.com", -target=>"_new"}, $cg
+i->img('blah.gif')) .
                $cgi->a( {-href => 'http://example.com' }, $value1 ). 
+"\n",
          $cgi->hidden( -name=>'name2', -value=>"$value2" ).
                $cgi->a( {-href => 'http://example.com' }, $value2 ) .
+ "\n",
          $cgi->hidden( -name=>'name3', -value=>"$value3" ).
                $cgi->a( {-href => 'http://example.com' }, $value3 ) .
+ "\n",
        ]),
    ]);
print "\n";

# td call separated
print $cgi->Tr({ -align=>'LEFT', -valign=>'TOP'},
    td($cgi->a( {-href=>"http://example.com", -target=>"_new"}, $cgi->
+img('blah.gif')) .
                $cgi->a( {-href => 'http://example.com' }, $value1 )) 
+. "\n" .
     td( { -OnClick=>"javascript:dothis()" },
        [
          $cgi->hidden( -name=>'name2', -value=>"$value2" ).
                $cgi->a( {-href => 'http://example.com' }, $value2 ) .
+ "\n",
          $cgi->hidden( -name=>'name3', -value=>"$value3" ).
                $cgi->a( {-href => 'http://example.com' }, $value3 ) .
+ "\n",
        ]),
    );
[download]

But since this isn't obviously in a loop, you've got no reason to print your hidden fields within the table; that's just making the code messy. To make things a little saner, store things in advance in a list (for order) and a hash (for name-value association) and built it with a loop.

my @names = (qw(name1 name2 name3));

my %cells = (name1 => {href => 'http://example.com/1', value => $value
+1},
             name2 => {href => 'http://example.com/2', value => $value
+2},
             name3 => {href => 'http://example.com/3', value => $value
+3});

sub row {
  my ($names, $cells) = @_;
  my $first = shift @$names;
  my @result;
  push @result, CGI::td(CGI::a({-href=> $cells->{$first}{href}, -targe
+t => "_new"}, CGI::img('blah.gif')) .
                         CGI::a({-href=> $cells->{$first}{href}}, $cel
+ls->{$first}{value}));
  for my $name (@$names) {
    push @result, CGI::td({ -OnClick=>"javascript:dothis()" },
                          CGI::hidden(-name => '$name', -value => $cel
+ls->{$name}{value}) .
                          CGI::a({-href => $cells->{$name}{href}}, $ce
+lls->{$name}{value}));
  }
  return join '', @result;
}

print $cgi->Tr({ -align=>'LEFT', -valign=>'TOP'}, row(\@names, \%cells
+));
[download]

Then chuck that too and start using a template module.