When building your WordPress theme using the REST API one of the pages you might want to correct is the Post archives page that displays all the posts for a certain month. Using the WP_Query object you will do this by passing in a date_query parameter with a after and before argument.
$args = array(
'date_query' => array(
array(
'after' => 'January 1st, 2017',
'before' => array(
'year' => 2017,
'month' => 2,
'day' => 28,
),
'inclusive' => true,
),
),
'posts_per_page' => -1,
);
$query = new WP_Query( $args );
Using the REST API you can perform the same search by using the after and before querystring parameters that will limit response to posts published before a given ISO8601 compliant date. Using the DateTime object you can easily do this by using the below code.
$date = new DateTime();
$afterDate = $date->modify('first day of this month')->format('Y-m-d\TH:i:s');
$beforeDate = $date->modify('last day of this month')->format('Y-m-d\TH:i:s');
https://example.com/wp-json/wp/v2/posts?after=' . $afterDate . '&before=' . $beforeDate;
This will return all the posts you need within the date range.