Currently, cancer is a severe disease for humans, and with the change in the lifestyle of society, more and more people get it every year. Chemotherapy is one of the most common treatments for cancer, but due to problems such as the gradual creation of multiple drug resistance (MDR), tumor metastasis, low bio-availability and the numerous and severe side effects of chemotherapy drugs, restrictions on its use exist [1–3]. The MDR provides the ability for cancer cells to minimize the effects of chemotherapy drugs by resisting the toxicity of drug agents during treatment [3]. Initially, to reduce the side effects of the pharmaceutical agents and to prevent drug resistance, combined therapies were suggested using two or more medications with different or similar classes of treatment (with lower doses) [1]. Although there have been successes in the combined use of several drugs, this method has not been able to introduce a definitive treatment for a wide range of cancers due to its inability to control the amount and proportion of each drug [1]. Today, depending on the type of cancer and its progress, the combined use of cancer treatment methods such as surgery, chemotherapy, radiation therapy, hormone therapy, etc. are being used [4]. The series of applications of nanobiotechnology in the targeted drug delivery base suggests that nano drugs may increase drug effects and potentially reduce drug side effects effectively. Targeted drug delivery is an efficient strategy for locally accumulating drug agents in tumor sites [5]. Challenges of conventional chemotherapy have led to the improvement of exact drug delivery systems based on nano-carriers, also known as smart drug delivery systems (SDDSs) [3]. Depending on the type, base material, and synthesis method, the nano-carrier can reside in the bloodstream for a prolonged period, so it has more chances to reach the target tissue, and also release the drug gradually [3]. The trapping of anticancer agents not only causes an efficient delivery of the drug to the target site but also decreases the side effects of the drug [4]. Therefore, the trapping of anticancer drugs in polymer nano-carriers can be an excellent way to improve the effectiveness of anticancer drugs [6]. Although nanoparticles (NPs) are the basis of nano-carriers, not all nanoparticles can be safe and effective carriers for drug agents [7]. Polymeric micelles are an absorbing platform for enhancing the bioavailability and solubility of insoluble / low-soluble medicines in water. Polymeric micelles can be used to target solid tumors by Enhancing permeability and retention (EPR). The structure of polymeric micelles is in the form of cores/shells, which are usually formed by the self-arrangement of amphiphilic copolymer blocks [6, 8]. Biocompatible and biodegradable two-block and three-block copolymers containing hydrophilic and hydrophobic parts are widely used in the medical industry, especially in targeted drug delivery. The Poly ε-caprolactone-poly ethylene glycol-poly ε-caprolactone (PCL-PEG-PCL) three-block copolymer, which includes one central hydrophilic (PEG) strand and two hydrophobic strings (PCL), can form micelles because of existing hydrophobic interactions [9, 10]. The PEG strands on the micelle form a hydrophilic shell, that due to the hydrophilicity of most biological environments in nature, can reduce the absorption of opsonin and clearance rates by a single-core phagocytic system and increase blood circulation time. The outstanding benefits of this copolymer include high stability, the formation of small-sized micelles, high drug loading, ease of surface modification, biocompatibility, and biodegradability [11, 12]. The nano-carriers use physiological differences between cancer cells and healthy cells (such as cell growth rate) to identify cancerous tissues. There are two main approaches to identifying target tissue: 1. Passive targeting, 2. Active targeting. Passive targeting takes place on the nano-carrier surface without the use of active receivers and is based solely on the EPR effect. In contrast, active targeting uses one or more active agents that can recognize and interfere with the target cell [3]. A targeted drug delivery system that operates actively can reach predetermined organs and cells and release the drug, using molecules attached to the surface, such as saccharides, peptides, antibodies, aptamers, and so on [5]. Docetaxel (DTX) with the brand name “Taxotere” is a powerful anti-mitotic chemotherapy drug that prevents the growth and spread of cancer cells in the other tissues by inhibiting micro polymerization of microtubules [4, 13, 14]. Docetaxel is used to control and treat advanced or metastatic breast cancer, prostate cancer, stomach cancer, lung cancer, and head and neck cancer of the cervix [5, 15]. The clinical form of DTX has side effects such as paresthesia, pain, and burning sensation, weakness, fluid retention, alopecia, nausea, diarrhea and vomiting, anemia, neutropenia, leukopenia, allergic reactions, etc [15, 16]. The use of Tween 80 and ethanol to facilitate the solubility of DTX in aqueous solutions has caused these side effects. Therefore, dexamethasone is used in patients treated with DTX [13]. Docetaxel has a hydroxyl functional group on carbon number ten, which increases its solubility in aqueous solutions compared to other taxane-based drugs such as paclitaxel. However, the solubility of DTX in aqueous solutions has been reported to be approximately 5–6 µg/ml with a low bioavailability [4, 15]. Numerous studies have been performed on DTX-induced apoptotic cell death [17, 18]. Apoptosis is a major cellular process that promotes the normal growth of tissue, which is essential for removing old and worn cells [19]. Apoptosis is also a way to remove cancer and malignant cells [20, 21]. The main features of this process are cell shrinkage, condensation the of nucleus and cytoplasm, and the porosity and fragmentation of the membrane that eventually leads to nuclear fragmentation and cell death [22]. Uncontrolled growth of breast tissue cells called breast cancer covers the milk glands and their canals and continues to grow by spreading across the body through blood and lymph nodes. Breast cancer is the most common malignancy type of invasive cancer in the world after liver cancer. One in eight women has been reported to have breast cancer in their lives [4, 23, 24]. The present study aimed to synthesize nano-carriers of PCL-PEG-PCL and load the DTX using the modified “modified nano-precipitation” method. In this study, particle size, particle scattering, zeta potential, drug loading percentage, encapsulation percentage, the drug release rate of nanoparticles synthesized and their cytotoxic effects, and also apoptosis induction on Michigan cancer foundation-7 (MCF-7), M.D. Anderson metastatic breast 231 (MDA-MB231), and fibroblast cell lines were examined.