Read in the documentation:
Trigger functions invoked by per-statement triggers should always
  return NULL. Trigger functions invoked by per-row triggers can return
  a table row (a value of type HeapTuple) to the calling executor, if
  they choose. A row-level trigger fired before an operation has the
  following choices:
- It can return NULL to skip the operation for the current row. This instructs the executor to not perform the row-level operation that
  invoked the trigger (the insertion, modification, or deletion of a
  particular table row). 
- For row-level INSERT and UPDATE triggers only, the returned row becomes the row that will be inserted or will replace the row being
  updated. This allows the trigger function to modify the row being
  inserted or updated. 
A row-level BEFORE trigger that does not intend to cause either of
  these behaviors must be careful to return as its result the same row
  that was passed in (that is, the NEW row for INSERT and UPDATE
  triggers, the OLD row for DELETE triggers).
A row-level INSTEAD OF trigger should either return NULL to indicate
  that it did not modify any data from the view's underlying base
  tables, or it should return the view row that was passed in (the NEW
  row for INSERT and UPDATE operations, or the OLD row for DELETE
  operations). A nonnull return value is used to signal that the trigger
  performed the necessary data modifications in the view. This will
  cause the count of the number of rows affected by the command to be
  incremented. For INSERT and UPDATE operations, the trigger may modify
  the NEW row before returning it. This will change the data returned by
  INSERT RETURNING or UPDATE RETURNING, and is useful when the view will
  not show exactly the same data that was provided.
The return value is ignored for row-level triggers fired after an
  operation, and so they can return NULL.
The below example shows how to conditionally abort insertion in a trigger:
create table my_table(id int);
-- do not insert rows with id > 10
create or replace function before_insert_on_my_table()
returns trigger language plpgsql as $$
begin
    return case
        when new.id > 10 then null
        else new
    end;
end $$;
create trigger before_insert_on_my_table
before insert on my_table
for each row execute procedure before_insert_on_my_table();
insert into my_table
values (15), (10), (5), (20)
returning id;
 id 
----
 10
  5
(2 rows)