Cloud data security is a set of strategies to secure data from security threats. Nevertheless, the prevention of multiple cloud security attacks has been ignored by the previous works. To overcome this issue, this paper proposes an efficient Signed Secure Socket Layer/ Transport Layer Security (SSL/TLS) based Data Security in the cloud using Log Triangular Transfer function based Deep Drop Boltzmann Machines (LTT-DDBM) and Rivest, Shamir Adleman Session Key-based Twisted Edwards Curve Cryptography (RSASK-TECC) framework with Digital Signature Algorithm (DSA). The process is initiated by the web owner by sending a request to the SSL/TLS Certificate Authority Centre (CAC) to establish a website. The web owner will upload the php files to the web server if the CAC requirements are satisfied. Afterward, the data owner logs in to the browser. Thereafter, the signed SSL/TLS certificate is forwarded to the CAC for attack detection and verification by using LTT-DDBM. If the verification is successful, a public key is generated along with the signed SSL/TLS certificate. Nevertheless, a warning message will be generated if the verification fails. After successful verification, a session key is generated by the browser that is further utilized for encrypting the data. Then, the encrypted data along with the session keys undergo further encryption utilizing the public key via Advanced Encryption Standard Session key-based Twisted Edwards Curve Cryptography (AESS-TECC) for enhancing data security. The data user checks hash codes for data integrity before downloading. Data access is granted if the codes match; otherwise, it is declined. As per the experimental analysis, the proposed mechanism is superior to the prevailing approaches.