As Cart has two Proceed checkout button at the top and Bottom but Sometimes we require to remove the Proceed checkout button in cart

There are 2 ways to do this .

1) Remove using layout XML.  Add this to a layout xml file

<checkout_cart_index>
    <remove name=”checkout.cart.top_methods” />
</checkout_cart_index>

2) Just hide it using CSS.  Add this to your store css style sheet

.checkout-cart-index .title-buttons .checkout-types {display:none}

Hope this will help you