Apparatus (10; 10') for continuously packaging products, in particular food products, comprising: - an inlet transporter comprising a first wheel rotating around a first axis of rotation, said first wheel being provided with one or more transport units which are configured to each take and transport one of said products and a corresponding wrapping sheet, said inlet transporter comprising first folding means configured to make at least one fold of said wrapping sheet around the product; - first feed means configured to feed said products to said transport units of said inlet transporter; - second feed means configured to feed said wrapping sheets to said transport units of said inlet transporter; - a packaging transporter comprising a second wheel rotating around a second axis of rotation, parallel to the first axis of rotation, said second wheel being provided with one or more gripping units, each able to receive, from a respective one of said one or more transport units, each of said products and the corresponding wrapping sheet at least partly wrapped around the latter, said packaging transporter comprising second folding means (26, 27, 28) configured to complete the wrapping of the wrapping sheets around the product; - heating means configured to heat an adhesive substance present on said wrapping sheet in order to stabilize the wrapping sheet around said product, said heating means being disposed downstream of said packaging transporter, said apparatus being characterized in that it also comprises linear transport means disposed directly downstream of said packaging transporter and comprising both a pair of transporters (31A, 31B) opposite distanced from each other in such a way as to be able to transport said products interposed between them along a segment of linear advance, and also a support member, disposed below and between said pair of transporters (31A, 31B) and configured to support said product from below, and in that each gripping unit is configured to pass through said pair of transporters (31A, 31B) while said second wheel rotates around said second axis of rotation and to simultaneously cooperate with said support member in such a way as to release each product already wrapped by a respective wrapping sheet on said support member without interruption in motion, so that said pair of transporters (31A, 31B) consecutively moves the products released by each of said gripping units along said segment of linear advance. - an inlet transporter comprising a first wheel rotating around a first axis of rotation, said first wheel being provided with one or more transport units which are configured to each take and transport one of said products and a corresponding wrapping sheet, said inlet transporter comprising first folding means configured to make at least one fold of said wrapping sheet around the product; - first feed means configured to feed said products to said transport units of said inlet transporter; - second feed means configured to feed said wrapping sheets to said transport units of said inlet transporter; - a packaging transporter comprising a second wheel rotating around a second axis of rotation, parallel to the first axis of rotation, said second wheel being provided with one or more gripping units, each able to receive, from a respective one of said one or more transport units, each of said products and the corresponding wrapping sheet at least partly wrapped around the latter, said packaging transporter comprising second folding means (26, 27, 28) configured to complete the wrapping of the wrapping sheets around the product; - heating means configured to heat an adhesive substance present on said wrapping sheet in order to stabilize the wrapping sheet around said product, said heating means being disposed downstream of said packaging transporter,