How can i hide Discount Code form checkout payment page in Magento 2?

Use below CSS for hiding discount block.

.checkout-index-index .payment-option._collapsible.opc-payment-additional.discount-code {
    display: none;
}

Edit

app/code/vendor/Module/view/frontend/layout/checkout_index_index.xml

or

app/design/frontend/Vendor/theme/Magento_Checkout/layout/checkout_index_index.xml

you can also remove discount block using 'checkout_index_index.xml'

@Prashant is also correct;

<?xml version="1.0"?>
<page xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" layout="checkout" xsi:noNamespaceSchemaLocation="urn:magento:framework:View/Layout/etc/page_configuration.xsd">
    <body>
        <referenceBlock name="checkout.root">
            <arguments>
                <argument name="jsLayout" xsi:type="array">
                    <item name="components" xsi:type="array">
                        <item name="checkout" xsi:type="array">
                            <item name="children" xsi:type="array">
                                <item name="steps" xsi:type="array">
                                    <item name="children" xsi:type="array">
                                        <item name="billing-step" xsi:type="array">
                                            <item name="children" xsi:type="array">
                                                <item name="payment" xsi:type="array">
                                                    <item name="children" xsi:type="array">
                                                        <item name="afterMethods" xsi:type="array">
                                                            <item name="children" xsi:type="array">
                                                                <item name="discount" xsi:type="array">
                                                                    <item name="config" xsi:type="array">
                                                                        <item name="componentDisabled" xsi:type="boolean">true</item>
                                                                    </item>
                                                                </item>
                                                            </item>
                                                        </item>
                                                    </item>
                                                </item>
                                            </item>
                                        </item>
                                    </item>
                                </item>
                            </item>
                        </item>
                    </item>
                </argument>
            </arguments>
        </referenceBlock>
    </body>
</page>

Add checkout_index_index.xml at your custom module app/code/vendor/Module/view/frontend/layout/checkout_index_index.xml

Add below code to it.

<?xml version="1.0"?>
<!--
/**
 * Copyright © 2016 Magento. All rights reserved.
 * See COPYING.txt for license details.
 */
-->
<page xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" layout="1column" xsi:noNamespaceSchemaLocation="urn:magento:framework:View/Layout/etc/page_configuration.xsd">
    <body>
        <referenceBlock name="checkout.root">
            <arguments>
                <argument name="jsLayout" xsi:type="array">
                    <item name="components" xsi:type="array">
                        <item name="checkout" xsi:type="array">
                            <item name="children" xsi:type="array">
                                <item name="steps" xsi:type="array">
                                    <item name="children" xsi:type="array">
                                        <item name="billing-step" xsi:type="array">
                                            <item name="children" xsi:type="array">
                                                <item name="payment" xsi:type="array">
                                                    <item name="children" xsi:type="array">
                                                        <item name="afterMethods" xsi:type="array">
                                                            <item name="children" xsi:type="array">        
                                                                <item name="discount" xsi:type="array">
                                                                    <item name="config" xsi:type="array">
                                                                        <item name="componentDisabled" xsi:type="boolean">true</item>
                                                                    </item>
                                                                </item>
                                                            </item>
                                                        </item>
                                                    </item>
                                                </item>
                                            </item>
                                        </item>
                                    </item>
                                </item>
                            </item>
                        </item>
                    </item>
                </argument>
            </arguments>
        </referenceBlock>
    </body>
</page>

In above code You find below code through this I have removed item discount :

<item name="discount" xsi:type="array">
    <item name="config" xsi:type="array">
        <item name="componentDisabled" xsi:type="boolean">true</item>
    </item>
</item>

Also refer for more information


override checkout_cart_index.xml file

and last line remove coupon code block

Move from app/design/frontend/V/T/Magento_checkout/layout/checkout_cart_index.xml

    <?xml version="1.0"?>
    <page layout="1column" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
          xsi:noNamespaceSchemaLocation="urn:magento:framework:View/Layout/etc/page_configuration.xsd">
        <body>
            .....
            .....
        <referenceBlock name="checkout.cart.coupon" remove="true"/>



        </body>
    </page>